Soliton asymptotics of nondecaying solutions of the modified Kadomtsev–Petviashvili–I equation

DOI10.1063/1.1329155zbMath1012.35071OpenAlexW2060537168MaRDI QIDQ2774991

Igor Anders, Anne Boutet de Monvel-Berthier

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1329155

zbMATH Keywords

existence of nondecaying real solutionsinfinite series of asymptotic solitons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Curved asymptotic solitons of Kadomtsev-Petviashvili-I and modified Kadomtsev-Petviashvili-I equations
• Solitons of the nonlinear Schrödinger equation generated by the continuum
• Curved asymptotic solitons of the Kadomtsev-Petviashvili equation
• Asymptotic solitons of the modified Korteweg-de Vries equation
• Inverse Spectral Transform for the Modified Kadomtsev-Petviashvili Equation
• ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE
• Soliton asymptotics of the Cauchy problem solution for the Toda lattice

This page was built for publication: Soliton asymptotics of nondecaying solutions of the modified Kadomtsev–Petviashvili–I equation