Compacton-like and kink-like waves for a higher-order wave equation of Korteweg–de Vries type
From MaRDI portal
Publication:3438793
DOI10.1080/00207160601170007zbMath1134.35096OpenAlexW1979528036MaRDI QIDQ3438793
Bin He, Yao Long, Wei-Guo Rui, Chan Chen
Publication date: 29 May 2007
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160601170007
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation ⋮ Existence analysis of traveling wave solutions for a generalization of KdV equation ⋮ Application of the integral bifurcation method for solving modified Camassa-Holm and Degasperis-Procesi equations ⋮ The integral bifurcation method and its application for solving a family of third-order dispersive PDEs ⋮ The binary \(F\)-expansion method and its application for solving the \((n + 1)\)-dimensional sine-Gordon equation ⋮ Some new travelling wave solutions with singular or nonsingular character for the higher order wave equation of KdV type (III) ⋮ Bifurcations and exact bounded travelling wave solutions for a partial differential equation ⋮ Integral bifurcation method combined with computer for solving a higher order wave equation of KdV type
Cites Work
- Unnamed Item
- A new type of bounded waves for Degasperis-Procesi equation
- On a class of physically important integrable equations
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Interactions and stability of solitary waves in shallow water.
- Travelling wave solutions for a higher order wave equations of KdV type. I
- Soliton and periodic solutions for higher order wave equations of KdV type (I)
- Compactons: Solitons with finite wavelength
- Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type
- GENERALIZED KINK WAVES IN A GENERAL COMPRESSIBLE HYPERELASTIC ROD