Dynamical behavior of similarity solutions of CKOEs with conservation law

R Kumar, A Kumar - Applied Mathematics and Computation, 2022 - Elsevier
The propagation of a current-fed string in 3-dimensional space interacting with an external
magnetic field is described by the system of coupled Konno–Oono equations. Present …

Some invariant solutions of coupled Konno-Oono equations arising in electromagnetic and quantum fields

R Kumar, A Kumar - Physica Scripta, 2022 - iopscience.iop.org
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 …

[HTML][HTML] Dynamics of some new solutions to the coupled DSW equations traveling horizontally on the seabed

R Kumar, RS Verma - Journal of Ocean Engineering and Science, 2024 - Elsevier
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 …

[HTML][HTML] On similarity solutions to (2+ 1)-dispersive long-wave equations

R Kumar, RS Verma, AK Tiwari - Journal of Ocean Engineering and …, 2023 - Elsevier
This work is devoted to get a new family of analytical solutions of the (2+ 1)-coupled
dispersive long wave equations propagating in an infinitely long channel with constant …

Dynamical Behavior of the Solutions of Coupled Boussinesq–Burgers Equations Occurring at the Seaside Beaches

R Kumar, KS Pandey, A Kumar - Brazilian Journal of Physics, 2022 - Springer
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 …

More solutions of coupled equal width wave equations arising in plasma and fluid dynamics

R Kumar, A Kumar - International Journal of Applied and Computational …, 2022 - Springer
The goal of this study is to get new analytical solutions for the system of (1+ 1)-coupled
equal width wave equations, which describe physical processes in turbulence and other …

[HTML][HTML] The symmetric breathers and lumps of the Boussinesq equation using the Alice–Bob transformation and Hirota's bilinear derivative method

LH Jiang, HY Wu, P Dong, ZY Ma - Results in Physics, 2023 - Elsevier
Many two-place physical problems can be explicitly presented as related events model
named Alice–Bob systems. In this paper, an integrable Alice–Bob Boussinesq system is …

Some more variety of analytical solutions to (2+ 1)-Bogoyavlensky-Konopelchenko equation

R Kumar, KS Pandey, SK Yadav, A Kumar - Physica Scripta, 2024 - iopscience.iop.org
The goal of this study is to get analytical solutions to the Bogoyavlensky-Konopelchenko
equation, which describes an interaction of a long-wavelength wave moving along the x-axis …

Dynamics of One-Dimensional Motion of a Gas Under the Influence of Monochromatic Radiation

DV Tanwar, PK Sahu - Qualitative Theory of Dynamical Systems, 2023 - Springer
The concern with the dispersion of shock waves in perfect gas in the context of
monochromatic radiation is mentioned in this manuscript. The system of Hyperbolic …

[PDF][PDF] Journal of Ocean Engineering and Science

S Kumar, M Niwas, SK Dhiman - 2021 - researchgate.net
abstract The generalized exponential rational function (GERF) method is used in this work to
obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation. The KS …