Focusing mKdV Breather Solutions with Nonvanishing Boundary Condition by the Inverse Scattering Method
From MaRDI portal
Publication:2883219
DOI10.1142/S140292511250009XzbMath1238.35125arXiv1110.3931MaRDI QIDQ2883219
Publication date: 11 May 2012
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.3931
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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items
Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions ⋮ Interacting waves of Davey-Stewartson III system ⋮ Nonlinear stability of Gardner breathers ⋮ On the ill-posedness of the Gardner equation ⋮ On the Long-Time Asymptotic Behavior of the Modified Korteweg--de Vries Equation with Step-like Initial Data ⋮ Geometric breathers of the mKdV equation ⋮ Long-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approach ⋮ Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation
Cites Work
- Structural transformation of eigenvalues for a perturbed algebraic soliton potential.
- Modified KdV solitons with non-zero vacuum parameter obtainable from the ZS-AKNS inverse method
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- LOW-DIMENSIONAL CHAOS IN A PERTURBED KORTEWEG–DE VRIES EQUATION
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- On some classes of mKdV periodic solutions
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
