Stability and instability of solitary waves for generalized symmetric regularized-long-wave equations
From MaRDI portal
Publication:1967162
DOI10.1016/S0167-2789(97)00325-4zbMath0938.35110MaRDI QIDQ1967162
Publication date: 13 March 2000
Published in: Physica D (Search for Journal in Brave)
Related Items (9)
Approximate inertial manifolds to the generalized symmetric regularized long wave equations with damping term ⋮ Analysis of Chebyshev pseudospectral method for multi-dimensional generalized SRLW equations ⋮ A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity ⋮ Influence of nonlinear terms on orbital stability of solitary wave solutions to the generalized symmetric regularized-long-wave equation ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ Orbital stability and instability of solitary waves for a class of dispersive symmetric regularized long-wave equation ⋮ The wellposedness and controllability of the generalized symmetric regularized long wave system ⋮ Exponential attractor for the generalized symmetric regularized long wave equation with damping term ⋮ Orbital stability of solitary waves for generalized symmetric regularized-long-wave equations with two nonlinear terms
Cites Work
- Decay of solutions of some nonlinear wave equations
- Instability of solitary waves for generalized Boussinesq equations
- On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
- Stability theory of solitary waves in the presence of symmetry. II
- Semigroups of linear operators and applications to partial differential equations
- Dispersion of low-energy waves for the generalized Benjamin-Bona-Mahony equation
- Instability of nonlinear bound states
- Sufficient conditions for stability of solitary-wave solutions of model equations for long waves
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Instability of a class of dispersive solitary waves
- A symmetric regularized-long-wave equation
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
- Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
- Model equations for long waves in nonlinear dispersive systems
This page was built for publication: Stability and instability of solitary waves for generalized symmetric regularized-long-wave equations
