Asymptotic theory of plane soliton self-focusing in two-dimensional wave media

DOI10.1016/0167-2789(95)00182-4zbMath0885.35107OpenAlexW2044537454MaRDI QIDQ1894670

Dmitry E. Pelinovsky, Konstantin A. Gorshkov

Publication date: 9 August 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00182-4

zbMATH Keywords

long-term evolution of unstable quasi-plane solitary waves in the Kadomtsev-Petviashvili modelperiodic soliton modulationsoliton self-focusing

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 (5)

Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory ⋮ Normal form for transverse instability of the line soliton with a nearly critical speed of propagation ⋮ On the well-posedness of the Eckhaus equation. ⋮ An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations ⋮ The Eckhaus soliton propagation in a random medium

Cites Work

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• On the evolution of packets of water waves
• Nonlinear evolution of the transverse instability of plane-envelope solitons
• Bifurcation analysis of the transverse drift-wave-envelope instability
• Long Internal Waves in Fluids of Great Depth
• Nonlinear waves traveling upon a front of solitons
• Evolution of a modulated KP soliton

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