Solutions of the Generalized Rotation-Modified Kadomtsev-Petviashvili Equation

DOI10.1515/ans-2010-0209zbMath1202.35218OpenAlexW2509662180MaRDI QIDQ4932334

Jianqing Chen, Yue Liu

Publication date: 1 October 2010

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2010-0209

zbMATH Keywords

blow-up solutionsrotation-modified Kadomtsev-Petviashvili equationbest constant of anisotropic Sobolev inequalityuniform bound of solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Rotation in hydrodynamic stability (76E07) Blow-up in context of PDEs (35B44)

Related Items (4)

On a class of \(N\)-dimensional anisotropic Sobolev inequalities ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation ⋮ On the uniform bound of solutions for the KP-type equations

Cites Work

• Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
• Recent results on the generalized Kadomtsev-Petviashvili equations
• The Rotation-Modified Kadomtsev-Petviashvili Equation: An Analytical and Numerical Study
• Solitary waves of the rotation-modified Kadomtsev–Petviashvili equation
• Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation
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