Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics
This article investigates a nonlinear fifth-order partial differential equation (PDE) in two-
mode waves. The equation generalizes two-mode Sawada-Kotera (tmSK), two-mode Lax …
mode waves. The equation generalizes two-mode Sawada-Kotera (tmSK), two-mode Lax …
Lie symmetries, closed-form solutions, and various dynamical profiles of solitons for the variable coefficient (2+ 1)-dimensional KP equations
This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-
dependent variable coefficients that describe the nonlinear wave propagation of small …
dependent variable coefficients that describe the nonlinear wave propagation of small …
[HTML][HTML] Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to the nonlinear Kodama equation
The present article formally studies the propagation of optical pulses in a nonlinear medium
governed by the nonlinear Kodama equation. For this purpose, the Lie symmetries group is …
governed by the nonlinear Kodama equation. For this purpose, the Lie symmetries group is …
[HTML][HTML] A novel and efficient method for obtaining Hirota's bilinear form for the nonlinear evolution equation in (n+ 1) dimensions
S Kumar, B Mohan - Partial Differential Equations in Applied Mathematics, 2022 - Elsevier
Bilinearization of nonlinear partial differential equations (PDEs) is essential in the Hirota
method, which is a widely used and robust mathematical tool for finding soliton solutions of …
method, which is a widely used and robust mathematical tool for finding soliton solutions of …
Lie symmetry reductions and group invariant solutions of (2+ 1)-dimensional modified Veronese web equation
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 …
(2+ 1)-dimensional modified Veronese web equation. The purpose of this present article is …
[HTML][HTML] Solitary wave solutions of (3+ 1)-dimensional extended Zakharov–Kuznetsov equation by Lie symmetry approach
S Kumar, D Kumar - Computers & Mathematics with Applications, 2019 - Elsevier
In this paper, the solitary wave solutions of (3+ 1)-dimensional extended Zakharov–
Kuznetsov (eZK) equation are constructed which appear in the magnetized two-ion …
Kuznetsov (eZK) equation are constructed which appear in the magnetized two-ion …
[HTML][HTML] Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+ 1)-dimensional burgers system in ocean physics and …
In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …
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
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) …
solitary wave solutions of (2+ 1)‐dimensional Date–Jimbo–Kashiwara–Miwa (DJKM) …
Lie symmetry analysis, optimal system and invariant solutions of (3+ 1)-dimensional nonlinear wave equation in liquid with gas bubbles
In this manuscript, we investigate the (3+ 1)-dimensional nonlinear wave equation in liquid
with gas bubbles. It describes the dynamics of nonlinear waves in hydrodynamics. Liquids …
with gas bubbles. It describes the dynamics of nonlinear waves in hydrodynamics. Liquids …
Lie symmetries, optimal system and dynamics of exact solutions of (2+ 1)-dimensional KP-BBM equation
The present research is devoted to carry out Lie group classification and optimal system of
one-dimensional subalgebras of KP–BBM equation. The equation describes bidirectional …
one-dimensional subalgebras of KP–BBM equation. The equation describes bidirectional …