Conservation laws, symmetries, and line solitons of a Kawahara-KP equation

DOI10.1016/j.cam.2023.115412zbMath1529.35447arXiv2211.03904MaRDI QIDQ6049331

Maria Luz Gandarias, Stephen C. Anco, Almudena P. Márquez

Publication date: 15 September 2023

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

Full work available at URL: https://arxiv.org/abs/2211.03904

zbMATH Keywords

conservation lawssymmetriesline solitonsKawahara-KP equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)

Cites Work

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• Existence of perturbed solitary wave solutions to a model equation for water waves
• On the low regularity of the fifth order Kadomtsev-Petviashvili I equation
• A note on the stability for Kawahara-KdV type equations
• Stability of solitary waves in dispersive media described by a fifth- order evolution equation
• The Cauchy problem for higher-order KP equations
• New exact travelling wave solutions for the Kawahara and modified Kawahara equations
• The Cauchy problem for the fifth order KP equations
• Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with \(p\)-power nonlinearities in two dimensions
• Line-solitons, line-shocks, and conservation laws of a universal KP-like equation in 2+1 dimensions
• Instability and blow-up of solutions of the fifth-order KP equation
• Positivity Properties and Stability of Solitary–Wave Solutions of Model Equations For Long Waves
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations

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