Cauchy problem for the generalized Benney-Luke equation
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Publication:3529830
DOI10.1063/1.2751280zbMath1144.81421OpenAlexW2049761058MaRDI QIDQ3529830
Guowang Chen, Shubin Wang, Gui Xiang Xu
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2751280
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (7)
New dark-bright soliton in the shallow water wave model ⋮ Dynamics for the 3D incompressible Navier-Stokes equations with double time delays and damping ⋮ Unnamed Item ⋮ Travelling wave solutions to the Benney-Luke and the higher-order improved Boussinesq equations of Sobolev type ⋮ A study of a generalized Benney-Luke equation with time-dependent coefficients ⋮ The Cauchy problem for the dissipative Boussinesq equation ⋮ Global existence and nonexistence of the initial-boundary value problem for the dissipative Boussinesq equation
Cites Work
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- Nonlinear stability of solitary waves of a 2-D Benney-Luke equation
- Nonlinear stability of a one-dimensional Boussinesq equation
- The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
- Two-dimensional solitary waves for a Benney-Luke equation
- Small amplitude solutions of the generalized IMBq equation.
- Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
- Cauchy problem of the generalized double dispersion equation
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Solitary waves on nonlinear elastic rods. I
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Three‐Dimensional Water Waves
- On the Interactions of Permanent Waves of Finite Amplitude
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- An energy-consistent dispersive shallow-water model.
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