On asymptotic behavior of solutions to Korteweg-de Vries type equations related to vortex filament with axial flow

DOI10.1016/j.jde.2008.03.031zbMath1147.35087OpenAlexW2002266370MaRDI QIDQ932269

Jun-Ichi Segata

Publication date: 10 July 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.03.031

zbMATH Keywords

large time asymptoticsHirota equationlong range interaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (1)

Motion of a vortex filament with axial flow in the half space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scattering theory in the energy space for a class of nonlinear Schrödinger equations
• Nonlinear scattering theory at low energy
• Long range scattering for nonlinear Schrödinger equations in one space dimension
• Decay and scattering of solutions of a nonlinear Schrödinger equation
• On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
• On the generalized Korteweg-de Vries type equations
• Solvability of equations for motion of a vortex filament with or without axial flow
• Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
• The asymptotic behavior of nonlinear Schrödinger equations
• Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
• A soliton on a vortex filament
• Three-dimensional distortions of a vortex filament with axial velocity
• On the modified Korteweg--de Vries equation

This page was built for publication: On asymptotic behavior of solutions to Korteweg-de Vries type equations related to vortex filament with axial flow