Optimal subalgebra of GKP by using Killing form, conservation law and some more solutions

DOI10.1007/s40819-021-01211-2zbMath1499.76084OpenAlexW4200264183WikidataQ114852178 ScholiaQ114852178MaRDI QIDQ2114529

Raj Kumar, Avneesh Kumar

Publication date: 15 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/s40819-021-01211-2

zbMATH Keywords

conservation lawLie algebrainvariant solutionssymmetry analysisKilling formGardner-Kadomtsov-Petviashvili

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (3)

More solutions of coupled equal width wave equations arising in plasma and fluid dynamics ⋮ Dynamics of one-dimensional motion of a gas under the influence of monochromatic radiation ⋮ Dynamical behavior of similarity solutions of CKOEs with conservation law

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of shallow water waves with Gardner-Kadomtsev-Petviashvili equation
• Application of the exp-function method for solving the combined KdV-mKdV and Gardner-KP equations
• Group classification for isothermal drift flux model of two phase flows
• Bifurcation and exact travelling wave solutions for Gardner-KP equation
• A new conservation theorem
• Similarity methods for differential equations
• Application of the novel \((G'/G)\)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation
• Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves
• Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem
• Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation
• Optimal system, invariant solutions and evolution of weak discontinuity for isentropic drift flux model
• Solitons and singular solitons for the Gardner-KP equation
• Some more invariant solutions of \((2+1)\)-water waves
• On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• Method for Solving the Korteweg-deVries Equation
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• THE EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS IN THE GARDNER AND GARDNER–KP EQUATIONS
• Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation
• Jacobi Elliptic Function Solutions and Traveling Wave Solutions of the (2 + 1)‐Dimensional Gardner‐KP Equation
• Optimal classification, exact solutions, and wave interactions of Euler system with large friction
• A direct algorithm of one-dimensional optimal system for the group invariant solutions
• A note on optimal systems for the heat equation

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