World's Best Scientists 2026 revealed!
Sachin Kumar

Sachin Kumar

D-Index & Metrics

Mathematics

D-Index
35
Citations
3746
World Ranking
2828
National Ranking
31

Sachin Kumar 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 Sachin Kumar sits on this spectrum.

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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 162 publications — 45th percentile

45% of scientists in this discipline score the same or lower.

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

Sachin Kumar 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 Sachin Kumar sits on this spectrum.

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: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

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

Overview

Sachin Kumar is affiliated with the University of Delhi in India and has contributed extensively to research in the fields of Physics and Astronomy as well as Mathematics. Their research output includes a broad range of topics that mainly intersect nonlinear dynamics, mathematical modeling, and applications in physical systems.

Their research covers the following main topics:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Fractional Differential Equations Solutions
  • Algebraic structures and combinatorial models
  • Advanced Fiber Laser Technologies
  • Advanced Mathematical Physics Problems
  • Mathematical and Theoretical Epidemiology and Ecology Models

In terms of subfields, their work predominantly involves:

  • Statistical and Nonlinear Physics
  • Modeling and Simulation
  • Geometry and Topology
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

Frequent publication venues for Sachin Kumar include:

  • Modern Physics Letters B
  • Optical and Quantum Electronics
  • Nonlinear Dynamics
  • Results in Physics
  • Journal of Ocean Engineering and Science

Their collaborative network features several frequent co-authors, including:

  • Monika Niwas
  • M.A. Abdou
  • Amit Kumar
  • Shubham Kumar Dhiman
  • Brij Mohan

Recent papers authored by Sachin Kumar demonstrate a focus on exact and analytical solutions for nonlinear differential equations and wave systems. Notable publications include:

  • Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation (2020), published in Chaos Solitons & Fractals
  • Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics (2022), published in Nonlinear Dynamics
  • Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a (2+1)-dimensional dissipative long wave system (2021), published in Physica Scripta
  • New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method (2020), published in The European Physical Journal Plus
  • Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation (2020), published in Chinese Journal of Physics

Best Publications

  • Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

    Sachin Kumar;Dharmendra Kumar;Amit Kumar

  • Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a (2+1)-dimensional dissipative long wave system

    Sachin Kumar;Setu Rani

  • New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method

    Sachin Kumar;Amit Kumar;Abdul-Majid Wazwaz

  • A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method

    Sachin Kumar;Brij Mohan

  • Lie symmetry reductions and group invariant solutions of (2 + 1)-dimensional modified Veronese web equation

    Sachin Kumar;Amit Kumar

  • Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation

    Sachin Kumar;Wen-Xiu Ma;Amit Kumar

  • Lie symmetry reductions and dynamics of soliton solutions of (2 $$+$$ + 1)-dimensional Pavlov equation

    Sachin Kumar;Setu Rani

  • Abundant different types of exact-soliton solutions to the (4+1)-dimensional Fokas and (2+1)-dimensional Breaking soliton equations

    Sachin Kumar;Monika Niwas;M S Osman;M A Abdou

  • Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations

    Sachin Kumar;Amit Kumar;Harsha Kharbanda

  • Lie symmetry analysis, exact analytical solutions and dynamics of solitons for (2 + 1)-dimensional NNV equations

    Sachin Kumar;Monika Niwas;Abdul-Majid Wazwaz

  • Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach

    Dharmendra Kumar;Sachin Kumar

  • Solitary wave solutions of (3+1)-dimensional extended Zakharov–Kuznetsov equation by Lie symmetry approach

    Sachin Kumar;Dharmendra Kumar

  • Abundant closed-form solutions and solitonic structures to an integrable fifth-order generalized nonlinear evolution equation in plasma physics

    Sachin Kumar;Hassan Almusawa;Ihsanullah Hamid;M.A. Abdou

  • The Lie symmetry analysis and exact Jacobi elliptic solutions for the Kawahara–KdV type equations

    Behzad Ghanbari;Behzad Ghanbari;Sachin Kumar;Monika Niwas;Dumitru Baleanu

  • A (2+1)-dimensional generalized Hirota–Satsuma–Ito equations: Lie symmetry analysis, invariant solutions and dynamics of soliton solutions

    Sachin Kumar;Kottakkaran Sooppy Nisar;Amit Kumar

  • Abundant exact closed-form solutions and solitonic structures for the double-chain deoxyribonucleic acid (DNA) model

    Sachin Kumar;Amit Kumar;Harsha Kharbanda

  • A malaria model with Caputo-Fabrizio and Atangana-Baleanu derivatives

    Hamadjam Abboubakar;Pushpendra Kumar;Norodin A. Rangaig;Sachin Kumar

  • Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey

    Sachin Kumar;Harsha Kharbanda

  • Solitary wave solutions of pZK equation using Lie point symmetries

    Dharmendra Kumar;Sachin Kumar

  • Group invariant solutions of (3+1)-dimensional generalized B-type Kadomstsev Petviashvili equation using optimal system of Lie subalgebra

    Sachin Kumar;Dharmendra Kumar;Abdul-Majid Wazwaz

  • Lie symmetries, optimal system, group-invariant solutions and dynamical behaviors of solitary wave solutions for a (3+1)-dimensional KdV-type equation

    Sachin Kumar;Dharmendra Kumar;Abdul-Majid Wazwaz

  • Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

    Sachin Kumar;Amit Kumar

Frequent Co-Authors

Rajesh Gupta
Rajesh Gupta University of California, San Diego
M.A. Abdou
M.A. Abdou Mansoura University
Shiv Kumar Sarin
Shiv Kumar Sarin Institute of Liver and Biliary Sciences
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
M.S. Osman
M.S. Osman Cairo University
Abdul-Majid Wazwaz
Abdul-Majid Wazwaz Saint Xavier University
Behzad Ghanbari
Behzad Ghanbari Kermanshah University of Medical Sciences
Anjan Biswas
Anjan Biswas Grambling State University
Wen-Xiu Ma
Wen-Xiu Ma University of South Florida
Kottakkaran Sooppy Nisar
Kottakkaran Sooppy Nisar Prince Sattam Bin Abdulaziz University

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