Compactons in a class of nonlinear dispersive equations.
From MaRDI portal
Publication:1410974
DOI10.1016/S0895-7177(03)00010-4zbMath1044.35078OpenAlexW2060215117MaRDI QIDQ1410974
Publication date: 15 October 2003
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0895-7177(03)00010-4
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
New solitons and kinks solutions to the Sharma-Tasso-Olver equation ⋮ New solitons and kink solutions for the Gardner equation ⋮ Solution of coupled system of nonlinear differential equations using homotopy analysis method ⋮ Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations ⋮ The tanh and the sine-cosine methods for the complex modified KdV and the generalized KdV equations ⋮ Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations ⋮ The Jacobi elliptic function solutions to a generalized Benjamin-Bona-Mahony equation ⋮ New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations ⋮ Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes ⋮ Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions ⋮ Kinks and solitons solutions for the generalized KdV equation with two power nonlinearities ⋮ Multiple soliton solutions for the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov equation ⋮ The formally variable separation approach for the modified Zakharov--Kuznetsov equation ⋮ Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities ⋮ New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations ⋮ Bifurcations of travelling wave solutions for modified nonlinear dispersive phi-four equation ⋮ Solitons solutions for some nonlinear evolution equations ⋮ The extended tanh method for abundant solitary wave solutions of nonlinear wave equations ⋮ New solitary wave and periodic wave solutions to the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system ⋮ New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations ⋮ New hyperbolic schemes for reliable treatment of Boussinesq equation ⋮ New solitary wave solutions to the modified Kawahara equation ⋮ The compact and noncompact structures for two types of generalized Camassa-Holm-KP equations ⋮ Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities ⋮ New solutions of distinct physical structures to high-dimensional nonlinear evolution equations ⋮ The tanh method and the sine–cosine method for solving the KP-MEW equation ⋮ The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations ⋮ Compactons, solitons and periodic solutions for variants of the KdV and the KP equations ⋮ Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures ⋮ Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions ⋮ Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures ⋮ Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions ⋮ Nonlinear variants of the BBM equation with compact and noncompact physical structures ⋮ Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity ⋮ Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations ⋮ Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities ⋮ New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations ⋮ New compact and noncompact solutions for two variants of a modified Camassa-Holm equation ⋮ Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-Mahony equation ⋮ Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form ⋮ A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions ⋮ New travelling wave solutions to the Boussinesq and the Klein-Gordon equations ⋮ The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms ⋮ ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THEExp-FUNCTION METHOD ⋮ Analytic study on the one and two spatial dimensional potential KdV equations ⋮ New kinks and solitons solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation ⋮ New solitary wave solutions for the bad Boussinesq and good Boussinesq equations ⋮ Solitons and periodic solutions for the fifth-order KdV equation ⋮ A repository of equations with cosine/sine compactons ⋮ The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants ⋮ Generalized forms of the phi-four equation with compactons, solitons and periodic solutions ⋮ Generalized Boussinesq type of equations with compactons, solitons and periodic solutions ⋮ The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation ⋮ New solitary wave solutions for generalized regularized long-wave equation ⋮ Exact and explicit travelling wave solutions for the nonlinear Drinfeld--Sokolov system ⋮ A variety of exact wave solutions with distinct physical structures for the Boussinesq system ⋮ The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions ⋮ The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations ⋮ Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations
Cites Work
- Unnamed Item
- Compact and noncompact dispersive patterns
- A review of the decomposition method in applied mathematics
- A numerical study of compactons
- Solving frontier problems of physics: the decomposition method
- The effect of the order of nonlinear dispersive equation on the compact and noncompact solutions
- Compactons and solitary patterns structures for variants of the KdV and the KP equations
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- On a class of nonlinear dispersive-dissipative interactions
- Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
- Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
- A construction of compact and noncompact solutions for nonlinear dispersive equations of even order
- Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- Nonlinear Dispersion and Compact Structures
- Compactons: Solitons with finite wavelength
- A study of nonlinear dispersive equations with solitary-wave solutions having compact support
- Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations
- New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
- Particle methods for dispersive equations