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Sachin Kumar

Sachin Kumar

D-Index & Metrics

Mathematics

D-Index
35
Citations
3746
World Ranking
2827
National Ranking
30

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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