The Kadomtsev–Petviashvili equation under rapid forcing

DOI10.1063/1.532037zbMath0879.35138OpenAlexW2030922618MaRDI QIDQ4345162

Irene M. Moroz

Publication date: 17 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532037

zbMATH Keywords

soliton solutionsKPI equationKPII equationone-lump solution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
• N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
• On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
• On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
• Two-dimensional lumps in nonlinear dispersive systems
• Rapidly Forced Initial Value Problems
• Phase-amplitude dynamics of the nonlinear Schrödinger equation with rapid forcing

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