Solitary wave families of NLPDEs via reversible systems theory

DOI10.1016/j.matcom.2009.06.029zbMath1422.35143OpenAlexW2113396287MaRDI QIDQ1038117

J. Blot

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.029

zbMATH Keywords

solitary wave familiesreversible systems theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton solutions (35C08)

Related Items (3)

OPTIMIZATION METHODS FOR SOLVING SYSTEMS OF HYDRODYNAMICS NONLINEAR EQUATIONS ⋮ ON THE CONVERGENCE RATE OF THE SUBGRADIENT METHOD WITH METRIC VARIATION AND ITS APPLICATIONS IN NEURAL NETWORK APPROXIMATION SCHEMES ⋮ Novel Lagrangian hierarchies, generalized variational ODE’s, and families of regular and embedded solitary waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Cascades of reversible homoclinic orbits to a saddle-focus equilibrium
• A simple global characterization for normal forms of singular vector fields
• A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
• On the existence of stationary solitary waves in a rotating fluid
• Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves
• Cauchy problem for the Ostrovsky equation
• Stability of solitary waves and weak rotation limit for the Ostrovsky equation
• Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
• On the Surface Waves in a Shallow Channel with an Uneven Bottom
• Moving embedded solitons
• Homoclinic orbits to small periodic orbits for a class of reversible systems
• Approximate Analytical and Numerical Solutions of the Stationary Ostrovsky Equation

This page was built for publication: Solitary wave families of NLPDEs via reversible systems theory