TEMPORAL EVOLUTIONS AND STATIONARY WAVES FOR PERTURBED KDV EQUATION WITH NONLOCAL TERM

DOI10.1142/S0218127402005972zbMath1042.35065OpenAlexW2092965410MaRDI QIDQ4736301

Bao-Feng Feng, Takuji Kawahara

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402005972

zbMATH Keywords

Hilbert transformmulti-hump solutionPerturbed KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25)

Cites Work

• Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Chaotic perturbations of KdV. I. Rational solutions
• Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation
• Laminarizing effects of dispersion in an active-dissipative nonlinear medium
• A global attracting set for the Kuramoto-Sivashinsky equation
• Stationary travelling-wave solutions of an unstable KdV-Burgers equation
• Multi-hump stationary waves for a Korteweg-de Vries equation with nonlocal perturbations
• Collections of heteroclinic cycles in the Kuramoto-Sivashinsky equation
• Finite-dimensional asymptotic behavior for the Swift-Hohenberg model of convection
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• Exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid
• Solitary waves in active-dissipative dispersive media
• Long Waves on Liquid Films

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