Invariance analysis, optimal system, and group invariant solutions of (3+1)‐dimensional non‐linear MA‐FAN equation

DOI10.1002/mma.9536MaRDI QIDQ6152649

Rajan Arora, Unnamed Author, Shalini Yadav

Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

infinitesimal generatorsinvariant solutionsLie symmetry analysisadjoint transformation matrixKilling's formone-dimensional optimal subalgebra

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rogue waves and rational solutions of a \((3+1)\)-dimensional nonlinear evolution equation
• \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
• A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions
• Similarity methods for differential equations
• Lie symmetry analysis for similarity reduction and exact solutions of modified KdV-Zakharov-Kuznetsov equation
• Solitary wave solutions for variant Boussinesq equations
• Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
• New exact and solitary wave solutions of nonlinear Schamel-KdV equation
• A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions
• Lie symmetries, one-dimensional optimal system and group invariant solutions for the Ripa system
• Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
• Group-Invariant Solutions of Differential Equations
• Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group
• Invariants of real low dimension Lie algebras
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
• Nonlocal symmetries classifications and exact solution of Chaplygin gas equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation
• A direct algorithm of one-dimensional optimal system for the group invariant solutions
• Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and (2+1)-dimensional breaking soliton equations

This page was built for publication: Invariance analysis, optimal system, and group invariant solutions of (3+1)‐dimensional non‐linear MA‐FAN equation