Group analysis and invariant solutions of the \((3+1)\)-dimensional defocusing Gardner-KP equation

DOI10.1016/j.aml.2024.109203zbMath1546.35197MaRDI QIDQ6595472

Jinyu Wu, Xue-Lin Yong, Xiao-zhong Yang

Publication date: 30 August 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Lie algebraexact solutionsLie symmetryGardner-KP equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie algebras and superalgebras to integrable systems (17B80) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Unnamed Item
• Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models
• Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation
• Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method
• Lie group analysis for a higher-order Boussinesq-Burgers system
• Symmetries and differential equations
• Symmetry reduction and exact solutions of the \((3+1)\)-dimensional nKdV-nCBS equation
• New exact solutions of Bratu Gelfand model in two dimensions using Lie symmetry analysis
• Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system
• Lie-Poisson neural networks (LPNets): data-based computing of Hamiltonian systems with symmetries
• The (2+1)-dimensional generalized Benjamin-Ono equation: nonlocal symmetry, CTE solvability and interaction solutions
• Dynamical and statistical features of soliton interactions in the focusing Gardner equation

This page was built for publication: Group analysis and invariant solutions of the \((3+1)\)-dimensional defocusing Gardner-KP equation