Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components
From MaRDI portal
Publication:2129955
DOI10.3934/math.2020212zbMath1484.35351OpenAlexW3013912370MaRDI QIDQ2129955
Jie Xin, Xiaoxiao Zheng, Yongyi Gu
Publication date: 25 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020212
solitary wavescoupled compound KdV and MKdV equationsnonzero asymptotic valueorbital stability and instabilityzero asymptotic value
NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Gardner equation and the stability of multi-kink solutions of the mKdV equation
- Orbital stability of solitary waves for the compound KdV equation
- On the Korteweg-de Vries equation
- Well-posedness and stability results for the Gardner equation
- Solitary wave and similarity solutions of the combined KdV equation
- Exact solutions to a coupled nonlinear equation
- Stability theory of solitary waves in the presence of symmetry. II
- Stability of dnoidal waves to Hirota-Satsuma system.
- Stability theory of solitary waves in the presence of symmetry. I
- Orbital stability of solitary waves of coupled KdV equations
- New exact travelling waves solutions to the combined KdV-MKdV and generalized Zakharov equations
- Sufficient conditions for orbital stability of periodic traveling waves
- Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications
- Approximate analytical solutions for some strongly nonlinear problems
- Wave Propagation in Nonlinear Lattice. I
- ON EXPLICIT SOLUTIONS OF A COUPLED KdV-mKdV EQUATION
- Solitary wave solutions of a system of coupled nonlinear equations
- Global smooth solution for a coupled non-linear wave equations
- Solitary wave solutions and cnoidal wave solutions to the combined KdV and mKdV equation
- Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
