Exact solutions and conservation laws of the Drinfel'd-Sokolov-Wilson system
DOI10.1155/2014/271960zbMath1472.35306OpenAlexW2109525514WikidataQ59037418 ScholiaQ59037418MaRDI QIDQ1723729
Ben Muatjetjeja, Chaudry Masood Khalique, Catherine Matjila
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/271960
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Geometric theory, characteristics, transformations in context of PDEs (35A30)
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Cites Work
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- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws
- Double reduction of PDEs from the association of symmetries with conservation laws with applications
- Exp-function method for nonlinear wave equations
- Conservation laws for third-order variant Boussinesq system
- New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Compactons and solitary patterns structures for variants of the KdV and the KP equations
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution in mathematical physics
- Relationship between symmetries and conservation laws
- New exact solutions for three nonlinear evolution equations
- Abundant families of new traveling wave solutions for the coupled Drinfel'd-Sokolov-Wilson equation
- Exact solutions of the classical Drinfel'd-Sokolov-Wilson equations and the relations among the solutions
- Solitary wave solutions for variant Boussinesq equations
- Symmetries and exact solutions via conservation laws for some partial differential equations of mathematical physics
- On numerical doubly periodic wave solutions of the coupled Drinfel'd-Sokolov-Wilson equation by the decomposition method
- Noether-type symmetries and conservation laws via partial Lagrangians
- The tanh method for compact and noncompact solutions for variants of the KdV-Burgers and the \(K(n,n)\)-Burgers equations
- Extended tanh-function method and its applications to nonlinear equations
- Soliton structure of the Drinfel’d–Sokolov–Wilson equation
- An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
- An Improved F-Expansion Method and Its Application to Coupled Drinfel'd–Sokolov–Wilson Equation
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- Integrals of nonlinear equations of evolution and solitary waves
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