Distinct variants of the KdV equation with compact and noncompact structures.
From MaRDI portal
Publication:1427649
DOI10.1016/S0096-3003(03)00238-8zbMath1039.35110OpenAlexW1977423800MaRDI QIDQ1427649
Publication date: 14 March 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00238-8
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (57)
New solitons and kinks solutions to the Sharma-Tasso-Olver 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 ⋮ Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form ⋮ 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 ⋮ New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations ⋮ Kinks and solitons solutions for the generalized KdV equation with two power nonlinearities ⋮ Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities ⋮ A new auxiliary equation method for finding travelling wave solutions to KdV equation ⋮ Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with \(p\)-power ⋮ Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation ⋮ Auxiliary equation method for the mKdV equation with variable coefficients ⋮ New solitary wave and periodic wave solutions to the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system ⋮ Application of the \((\frac{G'}{G})\)-expansion method to \((3 +1)\)-dimensional nonlinear evolution equations ⋮ Application of the \((\frac{G'}{G})\)-expansion method for the Zhiber-Shabat equation and other related equations ⋮ Compact and non compact structures of the phi-four equation ⋮ On the generalized Kadomtsev-Petviashvili equation with generalized evolution and variable coefficients ⋮ Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation ⋮ Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method ⋮ Stability catalyzer for a relativistic non-topological soliton solution ⋮ New exact solutions to the compound KdV-Burgers system with nonlinear terms of any order ⋮ Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation ⋮ New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations ⋮ New solitary wave solutions to the modified Kawahara equation ⋮ 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 ⋮ Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power ⋮ 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 ⋮ Adomian decomposition method for approximating the solution of the Korteweg-deVries equa\-tion ⋮ 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 ⋮ Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities ⋮ The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics ⋮ The tanh method for compact and noncompact solutions for variants of the KdV-Burgers and the \(K(n,n)\)-Burgers equations ⋮ Constructing solitary pattern solutions of the nonlinear dispersive Zakharov-Kuznetsov equation ⋮ An extended simplest equation method and its application to several forms of the fifth-order KdV equation ⋮ An efficient method for analyzing the solutions of the Korteweg-de Vries equation ⋮ Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations ⋮ Solitons and periodic solutions for the Rosenau-KdV and Rosenau-Kawahara equations ⋮ Negative-order integrable modified KdV equations of higher orders ⋮ Analytic study on the one and two spatial dimensional potential KdV equations ⋮ Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method ⋮ Solitons and other solutions to (n+1)-dimensional modified Zakharov-Kuznetsov equation by exp-function method ⋮ 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 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 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
- 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
- A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
- General compactons solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces
- General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces
- 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.
- The Modified Korteweg-de Vries Equation
- 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
This page was built for publication: Distinct variants of the KdV equation with compact and noncompact structures.
