Some more invariant solutions of \((2+1)\)-water waves

DOI10.1007/s40819-020-00945-9zbMath1499.35159OpenAlexW3121073379MaRDI QIDQ2669816

Raj Kumar, Mukesh Kumar, Anshu Kumar

Publication date: 9 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00945-9

zbMATH Keywords

nonlinear partial differential equationsexact solutionsBoiti-Leon-Pempinelli systemsimilarity transformations methodLie-group theory

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Soliton solutions (35C08)

Related Items (5)

More solutions of coupled equal width wave equations arising in plasma and fluid dynamics ⋮ Use of optimal subalgebra for the analysis of Lie symmetry, symmetry reductions, invariant solutions and conservation laws of the (3 + 1)-dimensional extended Sakovich equation ⋮ Invariant analysis, optimal system, power series solutions and conservation laws of Kersten-Krasil'shchik coupled KdV-mKdV equations ⋮ Dynamical behavior of similarity solutions of CKOEs with conservation law ⋮ Optimal subalgebra of GKP by using Killing form, conservation law and some more solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variety of exact travelling wave solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation
• Symmetry reduction and explicit solutions of the \((2+1)\)-dimensional Boiti-Leon-Pempinelli system
• Periodic structures based on variable separation solution of the (2+1)-dimensional boiti-leon-pempinelli equation
• Explicit exact solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation.
• Exact solutions to drift-flux multiphase flow models through Lie group symmetry analysis
• Exact solutions and conservation laws of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelli equation
• Similarity methods for differential equations
• Soliton like and multi-soliton like solutions for the Boiti-Leon-Pempinelli equation
• Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation
• Exact travelling wave solutions for the Boiti-Leon-Pempinelli equation
• Modification of the Painlevé test for systems of nonlinear partial differential equations
• BLP dissipative structures in plane
• Some more similarity solutions of the \((2+1)\)-dimensional BLP system
• On Lie symmetries and soliton solutions of \((2+1)\)-dimensional Bogoyavlenskii equations
• Some exact solutions for sediment transport equations
• A new generalized algebra method and its application in the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• Exact solutions for some time‐fractional evolution equations using Lie group theory
• Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics
• Optimal classification, exact solutions, and wave interactions of Euler system with large friction
• Solitons, Bäcklund transformation, and Lax pair for the (2+1)-dimensional Boiti–Leon–Pempinelli equation for the water waves
• New Fractal Localized Structures in Boiti-Leon-Pempinelli System
• On New Similarity Solutions of the Boiti—Leon—Pempinelli System
• Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51, 093519 (2010)]

This page was built for publication: Some more invariant solutions of \((2+1)\)-water waves