On ground-traveling waves for the generalized Kadomtsev-Petviashvili equations

DOI10.1023/A:1009805719625zbMath0997.35064OpenAlexW1506967142MaRDI QIDQ1586063

R. Smith

Publication date: 11 November 2002

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009805719625

zbMATH Keywords

existencevariational methodperiodic waveslimit behaviorgeneralized Kadomtsev-Petviashvili equationgroud traveling wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Theoretical approximation in context of PDEs (35A35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation ⋮ Sign-changing ground state solutions for discrete nonlinear Schrödinger equations ⋮ Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev–Petviashvili equation ⋮ The stability of exact solitary wave solutions for simplified modified Camassa-Holm equation

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