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

S Kumar, A Kumar, AM Wazwaz - The European Physical Journal Plus, 2020 - Springer
In this article, we utilize the generalized exponential rational function method and obtain
exact solitary wave solutions in various forms of the strain wave equation. Abundant exact …

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

S Kumar, WX Ma, A Kumar - Chinese Journal of Physics, 2021 - Elsevier
By applying the Lie symmetry method, abundant group-invariant solutions are constructed
for a (3+ 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which …

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

S Kumar, A Kumar, H Kharbanda - Physica Scripta, 2020 - iopscience.iop.org
This present work applies the Lie group of point transformation method to construct the
generalized invariant solutions for the (2+ 1)-dimensional dispersive long wave (DLW) …

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

S Kumar, A Kumar - Nonlinear Dynamics, 2019 - Springer
The Lie symmetry method is successfully applied to compute group invariant solutions for
(2+ 1)-dimensional modified Veronese web equation. The purpose of this present article is …

Rogue-wave, rational and semi-rational solutions for a generalized (3+ 1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer fluid

FY Liu, YT Gao, X Yu - Nonlinear Dynamics, 2023 - Springer
Two-layer-fluid models are used to describe certain nonlinear phenomena in medical
science and fluid mechanics. Under investigation in this paper is a generalized (3+ 1) …

[HTML][HTML] Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2+ 1)-rth dispersionless Dym equation

S Ahmed, R Ashraf, AR Seadawy, STR Rizvi, M Younis… - Results in Physics, 2021 - Elsevier
The Lump, multi-wave, breather, interactional solutions and stability analysis for the general
r-th dispersionless Dym equation are obtained by some fruitful transformations. This …

[HTML][HTML] Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+ 1)-dimensional rdDym equation using the Lie symmetry …

S Kumar, H Almusawa, A Kumar - Results in Physics, 2021 - Elsevier
The present study is devoted to obtaining some exact generalized solutions and new solitary
wave solutions for a (2+ 1)-dimensional nonlinear r th dispersionless Dym (rdDym) equation …

Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes

S Kumar, A Kumar - Mathematics and Computers in Simulation, 2022 - Elsevier
In this present paper, we obtain hyperbolic, exponential, trigonometric function, other soliton
solutions, and their combinations for the cold bosonic atoms in a zig-zag optical lattice …

[HTML][HTML] Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+ 1)-dimensional burgers system in ocean physics and …

S Kumar, A Kumar, B Mohan - Journal of Ocean Engineering and Science, 2023 - Elsevier
In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …

Lie symmetry analysis, optimal system, and generalized group invariant solutions of the (2+ 1)‐dimensional Date–Jimbo–Kashiwara–Miwa equation

A Chauhan, K Sharma, R Arora - Mathematical Methods in the …, 2020 - Wiley Online Library
In this work, Lie group theoretic method is used to carry out the similarity reduction and
solitary wave solutions of (2+ 1)‐dimensional Date–Jimbo–Kashiwara–Miwa (DJKM) …