Impressive and innovative soliton shapes for nonlinear Konno–Oono system relating to electromagnetic field
The study of waves emerged in magnetic field bears worth mentioning roles for describing
the nematic liquid crystal and the chiral soliton lattice. This exploration deals with the …
the nematic liquid crystal and the chiral soliton lattice. This exploration deals with the …
Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified …
In this work, the method of the Lie group of invariance is used to explore a (2+ 1)-
dimensional modified dispersive water wave (mDWW) system of equations. This system is …
dimensional modified dispersive water wave (mDWW) system of equations. This system is …
Dynamics of invariant solutions of mKdV-ZK arising in a homogeneous magnetised plasma
Classical Lie symmetry analysis is proposed to get a new variety of similarity solutions to a
nonlinear (3+ 1)-modified Korteweg de Vries-Zakharov–Kuznetsov equation. The equation …
nonlinear (3+ 1)-modified Korteweg de Vries-Zakharov–Kuznetsov equation. The equation …
Some novel physical structures of a (2+ 1)-dimensional variable-coefficient Korteweg–de Vries system
Y Liu, L Peng - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we study the novel nonlinear wave structures of a (2+ 1)-dimensional variable-
coefficient Korteweg–de Vries (KdV) system by its analytic solutions. Its N-soliton solutions …
coefficient Korteweg–de Vries (KdV) system by its analytic solutions. Its N-soliton solutions …
New variable separation solutions and localized waves for (2+ 1)-dimensional nonlinear systems by a full variable separation approach
J Quan, X Tang - Physica Scripta, 2023 - iopscience.iop.org
A full variable separation approach is firstly proposed for (2+ 1)-dimensional nonlinear
systems by extending the well-established multilinear variable separation approach through …
systems by extending the well-established multilinear variable separation approach through …
Lie symmetries, invariant solutions and phenomena dynamics of Boiti–Leon–Pempinelli system
The present work deals with highly nonlinear dispersive water equation named Boiti–Leon–
Pempinelli (BLP) system, which is a well known two dimensional generalization of sinh …
Pempinelli (BLP) system, which is a well known two dimensional generalization of sinh …
Lie symmetry reductions and generalized exact solutions of Date–Jimbo–Kashiwara–Miwa equation
DV Tanwar - Chaos, Solitons & Fractals, 2022 - Elsevier
The propagation of nonlinear waves with nonuniform velocities is described by nonlinear
evolution equations and their solutions involving arbitrary functions. When a nonlinear …
evolution equations and their solutions involving arbitrary functions. When a nonlinear …
Some invariant solutions of coupled Konno-Oono equations arising in electromagnetic and quantum fields
The goal of this study is to construct a novel family of travelling wave solutions for the system
of (1+ 1)-coupled Konno-Oono equations (CKOEs). It occurs in optical nonlinear media …
of (1+ 1)-coupled Konno-Oono equations (CKOEs). It occurs in optical nonlinear media …
[HTML][HTML] Dynamics of some new solutions to the coupled DSW equations traveling horizontally on the seabed
Abstract The system of (1+ 1)-coupled Drinfel'd–Sokolov–Wilson equations describes the
surface gravity waves travelling horizontally on the seabed. The objective of the present …
surface gravity waves travelling horizontally on the seabed. The objective of the present …
Dynamical Behavior of the Solutions of Coupled Boussinesq–Burgers Equations Occurring at the Seaside Beaches
Since water lies at the heart of sustainable development and climate change adaptation,
therefore, the objective of the present research work is to derive a new variety of analytical …
therefore, the objective of the present research work is to derive a new variety of analytical …