Compacton-like wave and kink-like wave of GCH equation
From MaRDI portal
Publication:864210
DOI10.1016/j.nonrwa.2005.06.005zbMath1106.35065OpenAlexW1974297143MaRDI QIDQ864210
Publication date: 13 February 2007
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.06.005
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)
Related Items
Further results on the traveling wave solutions for an integrable equation ⋮ Explicit kink-like and compacton-like wave solutions for a generalized KdV equation ⋮ Smooth soliton and kink solutions for a new integrable soliton equation ⋮ Bounded traveling wave solutions and their relations for the generalized HD type equation ⋮ Some new soliton-like solutions and periodic wave solutions with loop or without loop to a generalized KdV equation ⋮ New exact solutions for two nonlinear equations ⋮ Kink-like wave and compacton-like wave solutions for a two-component Fornberg-Whitham equation ⋮ New soliton-like solutions and compacton-like periodic wave solutions of parametric type to a nonlinear dispersive equation ⋮ A type of bounded traveling wave solutions for the Fornberg-Whitham equation ⋮ Kink-like wave and compacton-like wave solutions for generalized KdV equation ⋮ Quasi-periodic wave solutions and two-wave solutions of the KdV-Sawada-Kotera-Ramani equation ⋮ THE EXPLICIT NONLINEAR WAVE SOLUTIONS AND THEIR BIFURCATIONS OF THE GENERALIZED CAMASSA–HOLM EQUATION ⋮ Traveling wave solutions to the \((n+1)\)-dimensional sinh-cosh-Gordon equation ⋮ New types of nonlinear waves and bifurcation phenomena in Schamel-Korteweg-de Vries equation ⋮ Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation ⋮ New explicit periodic wave solutions and their limits for modified form of Camassa-Holm equation ⋮ EXPLICIT PERIODIC WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR GENERALIZED CAMASSA–HOLM EQUATION ⋮ Some new travelling wave solutions with singular or nonsingular character for the higher order wave equation of KdV type (III) ⋮ Existence and Dynamics of Bounded Traveling Wave Solutions to Getmanou Equation ⋮ COEXISTENCE OF MULTIFARIOUS EXPLICIT NONLINEAR WAVE SOLUTIONS FOR MODIFIED FORMS OF CAMASSA–HOLM AND DEGAPERIS–PROCESI EQUATIONS ⋮ Abundant dynamical behaviors of bounded traveling wave solutions to generalized \(\theta\)-equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of a class of solitary waves in compressible elastic rods
- Compact and noncompact dispersive patterns
- Wave breaking for nonlinear nonlocal shallow water equations
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Geodesic flow on the diffeomorphism group of the circle
- Stability of solitary waves for a nonlinearly dispersive equation
- On asymptotically equivalent shallow water wave equations
- Peaked wave solutions of Camassa-Holm equation
- Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
- Global weak solutions for a shallow water equation
- Geometric integrability of the Camassa-Holm equation
- A blow-up result for the periodic Camassa-Holm equation
- Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
- Peakons of the Camassa-Holm equation
- Peakons and periodic cusp waves in a generalized Camassa-Holm equation
- Stability of the Camassa-Holm solitons
- Dynamical properties of a kink of the sine-Gordon equation trapped in a potential well.
- Extension on peaked wave solutions of CH-\(\gamma\) equation
- Solitons in the Camassa-Holm shallow water equation
- The Camassa Holm equation: Conserved quantities and the initial value problem
- On solitons, compactons, and Lagrange maps.
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Numerical study of traveling-wave solutions for the Camassa--Holm equation
- Traveling wave solutions of the Camassa-Holm equation
- On the scattering problem for the Camassa-Holm equation
- A shallow water equation on the circle
- Fredholm determinants and the Camassa-Holm hierarchy
- Microstructure evolution in an interstitial-free steel during cold rolling at low strain levels
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Nonlinear Dispersion and Compact Structures
- Compactons: Solitons with finite wavelength
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- The Scattering Approach for the Camassa—Holm equation
- On the Cauchy Problem for a Nonlinearly Dispersive Wave Equation
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- The associated Camassa-Holm equation and the KdV equation
- PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
- Singular solution in a damped double sinh-Gordon system
- Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies