Wave patterns associated with a singular line for a bi-Hamiltonian system
From MaRDI portal
Publication:715935
DOI10.1016/j.physleta.2007.01.035zbMath1209.37073OpenAlexW2072337526MaRDI QIDQ715935
Publication date: 19 April 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.01.035
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (4)
Frobenius' idea together with integral bifurcation method for investigating exact solutions to a water wave model of the generalized mKdV equation ⋮ Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation ⋮ Different wave solutions associated with singular lines on phase plane ⋮ Existence analysis of traveling wave solutions for a generalization of KdV equation
Cites Work
- Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation
- Singular solitary waves associated with homoclinic orbits
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Bifurcations of traveling wave solutions in a coupled nonlinear wave equation
- Bifurcations of traveling wave solutions for two coupled variant Boussinesq equations in shallow water waves
- Bifurcations of traveling wave solutions in a compound KdV-type equation
- Bifurcations of travelling wave solutions for the generalization form of the modified KdV equation
- The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
- An integrable shallow water equation with peaked solitons
- Asymptotic Integrability of Water Waves
- Compactons: Solitons with finite wavelength
- Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods.
This page was built for publication: Wave patterns associated with a singular line for a bi-Hamiltonian system