World's Best Scientists 2026 revealed!
Avinash Khare

Avinash Khare

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Mathematics
India
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 51 1002 855 11 11 324 13827

Avinash Khare publications per year

The chart shows the history of publications by Avinash Khare between 1970 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Avinash Khare published across 56 years, from 1970 to 2025, averaging 8.2 papers a year. Output peaked at 23 publications in 1998. 26 of the 461 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1970 to 2025. Vertical axis: number of publications, 0 to 23. Peak 23 publications in 1998. 1970: 1 publication 1971: 0 publications 1972: 2 publications 1973: 3 publications 1974: 4 publications 1975: 4 publications 1976: 2 publications 1977: 4 publications 1978: 9 publications 1979: 6 publications 1980: 8 publications 1981: 9 publications 1982: 2 publications 1983: 2 publications 1984: 10 publications 1985: 1 publication 1986: 6 publications 1987: 7 publications 1988: 5 publications 1989: 9 publications 1990: 2 publications 1991: 10 publications 1992: 7 publications 1993: 15 publications 1994: 7 publications 1995: 15 publications 1996: 7 publications 1997: 10 publications 1998: 23 publications 1999: 12 publications 2000: 8 publications 2001: 19 publications 2002: 8 publications 2003: 8 publications 2004: 12 publications 2005: 9 publications 2006: 10 publications 2007: 7 publications 2008: 8 publications 2009: 9 publications 2010: 6 publications 2011: 6 publications 2012: 12 publications 2013: 7 publications 2014: 8 publications 2015: 12 publications 2016: 10 publications 2017: 10 publications 2018: 7 publications 2019: 4 publications 2020: 5 publications 2021: 9 publications 2022: 20 publications 2023: 19 publications 2024: 12 publications 2025: 14 publications
1970 2025

461 publications in total across all disciplines

View publications per year as a table
Avinash Khare: publications per year, 1970 to 2025
Year Publications
1970 1
1971 0
1972 2
1973 3
1974 4
1975 4
1976 2
1977 4
1978 9
1979 6
1980 8
1981 9
1982 2
1983 2
1984 10
1985 1
1986 6
1987 7
1988 5
1989 9
1990 2
1991 10
1992 7
1993 15
1994 7
1995 15
1996 7
1997 10
1998 23
1999 12
2000 8
2001 19
2002 8
2003 8
2004 12
2005 9
2006 10
2007 7
2008 8
2009 9
2010 6
2011 6
2012 12
2013 7
2014 8
2015 12
2016 10
2017 10
2018 7
2019 4
2020 5
2021 9
2022 20
2023 19
2024 12
2025 14
Total 461
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Avinash Khare publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Avinash Khare sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 322–326 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 324 publications — 88th percentile

88% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16 324
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Avinash Khare D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Avinash Khare sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 51 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57 51
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 2026 - Research.com Mathematics in India Leader Award
  • 2025 - Research.com Mathematics in India Leader Award
  • 2023 - Research.com Mathematics in India Leader Award

Overview

Avinash Khare is affiliated with Sikkim University in India and is active in the field of Physics and Astronomy, with a primary focus on Statistical and Nonlinear Physics, and Atomic and Molecular Physics, and Optics. Their research output spans a broad range of topics, prominently including Nonlinear Waves and Solitons, Nonlinear Photonic Systems, Quantum Mechanics and Non-Hermitian Physics, and Advanced Fiber Laser Technologies.

Khare's research covers various aspects of nonlinear and quantum physics, with notable attention to phenomena such as Cold Atom Physics and Bose-Einstein Condensates, as well as Quantum chaos and dynamical systems. Their work also extends into Applied Mathematics and Mathematical Physics, reflecting a multidisciplinary approach to complex scientific problems.

The scientist has authored multiple papers published in significant scientific venues. Selected recent papers include:

  • Kink solutions with power law tails, 2022, Frontiers in Physics
  • A minimal nonlinearity logarithmic potential: Kinks with super-exponential profiles, 2021, International Journal of Modern Physics B
  • Novel superposed kinklike and pulselike solutions for several nonlocal nonlinear equations, 2022, Journal of Mathematical Physics
  • How close are integrable and nonintegrable models: A parametric case study based on the Salerno model, 2023, Physical review. E
  • Uniform-density Bose-Einstein condensates of the Gross-Pitaevskii equation found by solving the inverse problem for the confining potential, 2023, Physical review. E

Frequent collaborators include Avadh Saxena, Rajesh Kumar Yadav, John F. Dawson, Fred Cooper, and E. G. Charalampidis, indicating a sustained pattern of coauthorship and research partnership within their field.

The majority of Khare's publications appear in venues such as arXiv (Cornell University), SSRN Electronic Journal, Annals of Physics, Physical review. E, and the International Journal of Modern Physics B. These platforms are well recognized for disseminating research in physics and related disciplines.

The scientist's work also systematically engages with advanced mathematical methods and problems related to physical systems, underscoring the interdisciplinary nature of their contributions.

Best Publications

  • Supersymmetry and quantum mechanics

    Fred Cooper;Avinash Khare;Uday Sukhatme

  • Supersymmetry in Quantum Mechanics

    Fred Cooper;Avinash Khare;Uday Sukhatme

  • Supersymmetry, Shape Invariance and Exactly Solvable Potentials

    Ranabir Dutt;Avinash Khare;Uday P. Sukhatme

  • Supersymmetry in quantum mechanics

    Avinash Khare

  • Relationship between supersymmetry and solvable potentials.

    Fred Cooper;Joseph N. Ginocchio;Avinash Khare

  • Explicit wavefunctions for shape-invariant potentials by operator techniques

    J W Dabrowska;A Khare;U P Sukhatme

  • Exactness of supersymmetric WKB spectra for shape-invariant potentials

    Ranabir Dutt;Avinash Khare;Uday P. Sukhatme

  • A PT-invariant potential with complex QES eigenvalues

    Avinash Khare;Bhabani Prasad Mandal

  • Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

    Avinash Khare;Avadh Saxena

  • Scattering amplitudes for supersymmetric shape-invariant potentials by operator methods

    Avinash Khare;Uday P. Sukhatme

  • New exactly solvable Hamiltonians: Shape invariance and self-similarity.

    D. T. Barclay;R. Dutt;A. Gangopadhyaya;Avinash Khare

  • New class of conditionally exactly solvable potentials in quantum mechanics

    R Dutt;A Khare;Y P Varshni

  • Supersymmetry and the Dirac equation

    Fred Cooper;Avinash Khare;R. Musto;A. Wipf

  • New shape invariant potentials in supersymmetric quantum mechanics

    Avinash Khare;Uday P. Sukhatme

  • Phase-equivalent potentials obtained from supersymmetry

    Avinash Khare;Uday Sukhatme

  • New solvable and quasi exactly solvable periodic potentials

    Avinash Khare;Uday Sukhatme;Sachivalaya Marg

  • Exact solutions of the saturable discrete nonlinear Schrödinger equation

    Avinash Khare;Kim Ø Rasmussen;Mogens R Samuelsen;Avadh Saxena

  • Supersymmetry-inspired WKB approximation in quantum mechanics

    Ranabir Dutt;Avinash Khare;Uday P. Sukhatme

  • Charged vortex of finite energy in nonabelian gauge theories with Chern-Simons term

    C.Nagaraja Kumar;Avinash Khare

  • Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations.

    Fred Cooper;James M. Hyman;Avinash Khare

  • New solvable and quasiexactly solvable periodic potentials

    Avinash Khare;Uday Sukhatme

Frequent Co-Authors

Prasanta K. Panigrahi
Prasanta K. Panigrahi Indian Institute of Science Education and Research Kolkata
Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Sergey V. Dmitriev
Sergey V. Dmitriev Russian Academy of Sciences
Carl M. Bender
Carl M. Bender Washington University in St. Louis
Pradeep Kumar
Pradeep Kumar Indian Institute of Technology Roorkee
Ryu Sasaki
Ryu Sasaki Tokyo University of Science
Alain Comtet
Alain Comtet Sorbonne University
James M. Hyman
James M. Hyman Tulane University

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