Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions
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Publication:1433782
DOI10.1016/S0960-0779(03)00059-6zbMath1068.35148OpenAlexW2033734904MaRDI QIDQ1433782
Publication date: 1 July 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00059-6
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (15)
New compact and noncompact structures of the nonlinearly dispersive Boussinesq equations ⋮ Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation ⋮ New exact shape changing solitary solutions of a generalized Hirota equation with nonlinear inhomogeneities ⋮ Complete characterization of algebraic traveling wave solutions for the Boussinesq, Klein-Gordon and Benjamin-Bona-Mahony equations ⋮ New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations ⋮ ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS ⋮ Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method ⋮ New hyperbolic schemes for reliable treatment of Boussinesq equation ⋮ New compact and noncompact solutions of the \(K(k,n)\) equations ⋮ Hermitian Spectral Theory and Blow‐Up Patterns for a Fourth‐Order Semilinear Boussinesq Equation ⋮ Exact solitary wave solution of Boussinesq equation by VIM ⋮ New exact solitary pattern solutions of the nonlinearly dispersive \(R(m, n)\) equations ⋮ New travelling wave solutions to the Boussinesq and the Klein-Gordon equations ⋮ The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations ⋮ Shock waves and compactons for fifth-order non-linear dispersion equations
Cites Work
- Compact and noncompact dispersive patterns
- New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion.
- New families of exact solitary patterns solutions for the nonlinearly dispersive \(R(m,n)\) equa\-tions.
- Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion
- Nonlinear Dispersion and Compact Structures
- Compactons: Solitons with finite wavelength
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