World's Best Scientists 2026 revealed!
Avinash Khare

Avinash Khare

Award Badge
Mathematics
India
2026

D-Index & Metrics

Mathematics

D-Index
51
Citations
13827
World Ranking
1002
National Ranking
11

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

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can significantly enhance career opportunities. Many professionals consider combining their math skills with business acumen through programs like an cheapest 1 year online MBA programs. These fast-track MBAs allow individuals to quickly gain leadership and management expertise, opening doors to executive roles.

Transferring credits is another important factor for those looking to switch or advance their education efficiently. The availability of online MBA accepting transfer credits can ease the transition and reduce the overall cost and time commitment, making higher education more accessible.

In addition, the growing field of data analytics offers excellent career pathways for math graduates. Pursuing specialized data analysis programs equips students with skills in data interpretation and statistical software, highly sought after in industries like finance, healthcare, and technology.

For those concerned with admission competitiveness, exploring MBA programs easy to get into can help students find suitable options without overly stringent entry requirements, enabling them to advance their studies with less stress.

Best Scientists Citing Avinash Khare

Trending Scientists

Recently Published Articles