Blow up and instability of solitary wave solutions to a generalized Kadomtsev–Petviashvili equation and two-dimensional Benjamin–Ono equations

DOI10.1098/rspa.2007.0013zbMath1155.35084OpenAlexW2151570118MaRDI QIDQ5438175

Jianqing Chen, Bo-ling Guo, Yong Qian Han

Publication date: 23 January 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.0013

zbMATH Keywords

collapseblow-up solutionsNehari methodKadomtsev-Petviashvili equationBenjamin-Ono equationsstrong instability of solitary waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (3)

The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations ⋮ Instability of solitary waves of two-dimensional Benjamin equation ⋮ Remarks on solitary waves of the generalized two dimensional Benjamin-Ono equation

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
• Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\)
• Remarks on the generalized Kadomtsev-Petviashvili equations and two-dimensional Benjamin-Ono equations
• Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation

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