Exact traveling wave solutions and \(L^{1}\) stability for the shallow water wave model of moderate amplitude
DOI10.1007/S13324-016-0139-3zbMath1378.35068OpenAlexW2488471828MaRDI QIDQ1682227
Publication date: 29 November 2017
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-016-0139-3
Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items (1)
Cites Work
- Orbital stability of solitary waves of moderate amplitude in shallow water
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- New exact solutions for an \((N+1)\)-dimensional generalized Boussinesq equation
- The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
- Blow-up of solutions to the DGH equation
- Stability of a class of solitary waves in compressible elastic rods
- On the blow-up of solutions of a periodic nonlinear dispersive wave equation in compressible elastic rods.
- Stability of solitary waves for a nonlinearly dispersive equation
- Well-posedness, global solutions and blow up phenomena for a nonlinearly dispersive wave equation
- Peakons and periodic cusp waves in a generalized Camassa-Holm equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity
- On the solutions of a model equation for shallow water waves of moderate amplitude
- Global weak solutions to the Novikov equation
- The Cauchy problem for the generalized Camassa-Holm equation in Besov space
- Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation
- On the Cauchy problem for a model equation for shallow water waves of moderate amplitude
- Persistence properties and unique continuation of solutions of the Camassa-Holm equation
- Blowup phenomena for a new periodic nonlinearly dispersive wave equation
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Solitary Traveling Water Waves of Moderate Amplitude
- Blow-up phenomenon for a periodic rod equation
This page was built for publication: Exact traveling wave solutions and \(L^{1}\) stability for the shallow water wave model of moderate amplitude
