A new method of studying the dynamical behaviour of the sine-Gordon equation

DOI10.1016/0375-9601(95)00491-KzbMath1020.35523OpenAlexW2085372279MaRDI QIDQ1965672

Zhen-Yuan Xu, Zeng-Rong Liu

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00491-k

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Homoclinic orbit in ODE on GAIM of the sine-Gordon equation ⋮ Wavelet approximate inertial manifold in nonlinear solitary wave equation ⋮ Global dynamics near the resonance in the sine-gordon equation ⋮ Saddle-node bifurcations on approximate inertial manifolds for a driven wave equation ⋮ The research of blow-up in 2D weakly damped forced KdV equation on thin domain ⋮ Local attractors for weakly damped forced KdV equation in thin 2D domains

Cites Work

• Unnamed Item
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Pattern formation outside of equilibrium

This page was built for publication: A new method of studying the dynamical behaviour of the sine-Gordon equation