Orbital stability of solitary waves for the compound KdV equation
From MaRDI portal
Publication:533053
DOI10.1016/j.nonrwa.2010.10.017zbMath1216.35129OpenAlexW2067400503MaRDI QIDQ533053
Gaolong Shi, Yinghao Qin, Bo-ling Guo, Gong-Ming Wei, Wei-Guo Zhang
Publication date: 2 May 2011
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.10.017
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05) Soliton equations (35Q51) Soliton solutions (35C08)
Related Items
Orbital stability of solitary waves to the coupled compound KdV and MKdV equations with two components, Orbital stability of periodic traveling wave solutions to the coupled compound KdV and MKdV equations with two components, Some conservation laws for a forced KdV equation, Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations, Orbital stability and asymptotic stability of mKdV breather-type soliton solutions, Stability/instability of solitary waves with nonzero asymptotic value for a PDE in microstructural solid materials, Orbital stability of the smooth solitary wave with nonzero asymptotic value for the mCH equation, The stability of exact solitary wave solutions for simplified modified Camassa-Holm equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the Korteweg-de Vries equation
- Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
- A numerical method for KdV equation using collocation and radial basis functions
- Structural stability of the Korteweg-de Vries solitons under a singular perturbation
- Stability theory of solitary waves in the presence of symmetry. II
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)
- Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear elements
- Fourth-order compact solution of the nonlinear Klein-Gordon equation
- Stability theory of solitary waves in the presence of symmetry. I
- Oscillatory instability of traveling waves for a KdV-Burgers equation
- Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
- Travelling solitary wave solutions to a seventh-order generalized KdV equation
- Lyapunov approach to the soliton stability in highly dispersive systems. II: KdV-type equations
- Exact travelling solutions for the Lax's seventh-order KdV equation by sech method and rational exp-function method
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- Wave Propagation in Nonlinear Lattice. II
- A meshless method using the radial basis functions for numerical solution of the 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
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- On the stability theory of solitary waves
- Method for Solving the Korteweg-deVries Equation
- Eigenvalues, and instabilities of solitary waves
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
- Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
- Singular solution in a damped double sinh-Gordon system
