Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation
DOI10.1088/1361-6544/ac78bbzbMath1492.35250arXiv2110.15617OpenAlexW3211276545MaRDI QIDQ5089480
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Publication date: 19 July 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.15617
solitonmodified Korteweg-de Vries equationorbital stabilitymulti-solitonbreathermKdV equationmulti-breather
Asymptotic behavior of solutions to PDEs (35B40) 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) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
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- Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons
- Nonlinear stability of MKdV breathers
- Multi solitary waves for nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Asymptotic analysis of soliton problems. An inverse scattering approach
- On the ill-posedness of some canonical dispersive equations.
- A Chebyshev spectral method for solving Korteweg-de Vries equation with hydrodynamical application
- Stability and asymptotic stability for subcritical gKdV equations
- Soliton resolution for the focusing modified KdV equation
- Discrete conservation laws and the convergence of long time simulations of the mKdV equation
- Stability of multipeakons
- Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers
- Asymptotic stability of solitons of the gKdV equations with general nonlinearity
- On the variational structure of breather solutions. I: Sine-Gordon equation
- Asymptotic stability of solitons for mKdV
- Asymptotic stability of solitons for the Benjamin-Ono equation
- The Modified Korteweg-de Vries Equation
- Multi-solitons for nonlinear Klein–Gordon equations
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- On the stability of KdV multi‐solitons
- Multi-travelling waves for the nonlinear Klein-Gordon equation
- On the nonlinear stability of mKdV breathers
- Asymptotic stability of solitons of the subcritical gKdV equations revisited
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- Stability of the multi-solitons of the modified Korteweg–de Vries equation *
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
- Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation
- Instability of solitons for the critical generalized Korteweg-de Vries equation
- Asymptotic stability of solitons for subcritical generalized KdV equations
