Dynamics of the breather and solitary waves in plasma using the generalized variable coefficient Gardner equation

Kumar, Mukesh; Srivastava, Shristi

doi:10.1080/00207160.2024.2340080

International Journal of Computer Mathematics

2024

DOI: 10.1080/00207160.2024.2340080

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Dynamics of the breather and solitary waves in plasma using the generalized variable coefficient Gardner equation

Mukesh Kumar,

Shristi Srivastava

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2024

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Lie symmetry analysis, exact solutions and conservation laws of (3+1)-dimensional modified Wazwaz-Benjamin-Bona-Mahony equation

Yadav,

Chauhan

2024

Phys. Scr.

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In this paper, we study the (3+1)-dimensional modified Wazwaz-Benjamin-Bona-Mahony equation using Lie symmetry analysis. An optimal system is constructed with the help of a commutator table and an adjoint table. Similarity reductions are obtained on the basis of the optimal system, and the governing partial differential equation is transformed into another partial differential equations with a smaller number of independent variables. The solutions of these reduced partial differential equations give invariant solutions of the (3+1)-dimensional modified Wazwaz-Benjamin-Bona-Mahony equation. The 3D graphical plots are used to describe the dynamical characteristics of the solutions. Hence, by employing these graphs, physicists and mathematicians can more efficiently and successfully follow complex physical processes. Finally, self-adjoint is checked, and conservation laws are also deducted corresponding to each infinitesimal generator.

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Lie symmetry analysis, exact solutions and conservation laws of (3+1)-dimensional modified Wazwaz-Benjamin-Bona-Mahony equation

Yadav,

Chauhan

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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Dynamics of the breather and solitary waves in plasma using the generalized variable coefficient Gardner equation

Cited by 1 publication

References 21 publications

Lie symmetry analysis, exact solutions and conservation laws of (3+1)-dimensional modified Wazwaz-Benjamin-Bona-Mahony equation

Lie symmetry analysis, exact solutions and conservation laws of (3+1)-dimensional modified Wazwaz-Benjamin-Bona-Mahony equation

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