On traveling wave solutions of the \(\theta\)-equation of dispersive type
From MaRDI portal
Publication:401369
DOI10.1016/j.jmaa.2014.06.058zbMath1304.35190OpenAlexW1999784747MaRDI QIDQ401369
Publication date: 26 August 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.058
Traveling wave solutions (35C07) Soliton solutions (35C08) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Related Items (5)
Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ Various Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law Nonlinearity ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation ⋮ EXPLICIT PEAKON SOLUTIONS TO A FAMILY OF WAVE-BREAKING EQUATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation
- New travelling wave solutions for a nonlinearly dispersive wave equation of Camassa-Holm equation type
- Periodic and solitary travelling-wave solutions of a CH-DP equation
- On the well-posedness of the Degasperis-Procesi equation
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Global conservative solutions of the Camassa-Holm equation
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- On discreteness of the Hopf equation
- Qualitative analysis and solutions of bounded traveling wave for B-BBM equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Stability of a class of solitary waves in compressible elastic rods
- Initial boundary value problems for nonlinear dispersive wave equations
- New peakon, solitary wave and periodic wave solutions for the modified Camassa-Holm equation
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- On the Cauchy problem for an integrable equation with peakon solutions
- On asymptotically equivalent shallow water wave equations
- Global weak solutions for a shallow water equation
- Traveling wave solutions of the Degasperis-Procesi equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Stability of the Camassa-Holm solitons
- Periodic and solitary-wave solutions of the Degasperis-Procesi equation
- Global weak solutions for a new periodic integrable equation with peakon solutions
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Qualitative theory of planar differential systems
- Traveling wave solutions of the Camassa-Holm equation
- On the weak solutions to a shallow water equation
- On the scattering problem for the Camassa-Holm equation
- Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations
- Wave Breaking in a Class of Nonlocal Dispersive Wave Equations
- Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Global weak solutions for a shallow water equation
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Multi-peakon solutions of the Degasperis–Procesi equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Conservation laws of the Camassa–Holm equation
- Global solutions to a new integrable equation with peakons
- On the Cauchy problem for the Camassa-Holm equation
This page was built for publication: On traveling wave solutions of the \(\theta\)-equation of dispersive type
