A new complex line soliton for the two-dimensional KdV-Burgers equation
From MaRDI portal
Publication:5950414
DOI10.1016/S0375-9601(01)00707-1zbMath0979.35126OpenAlexW2058430527MaRDI QIDQ5950414
Benny Y. C. Hon, Jian Zhang, En-gui Fan
Publication date: 11 December 2001
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00707-1
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
KINK WAVE SOLUTIONS TO KDV-BURGERS EQUATION WITH FORCING TERM, Construction of new soliton-like solutions of the (2 + 1) dimensional dispersive long wave equation, Exact solution in terms of elliptic functions for the Burgers --- Korteweg --- de Vries equation, Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system, Generalized method and new exact wave solutions for \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt system, A new Korteweg-de Vries equation-based sub-equation method and its application to the (2 + 1)-dimensional Korteweg-de Vries equation, Applications of extended tanh method to `special' types of nonlinear equations, The Korteweg–de Vries–Burgers equation and its approximate solution, Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation., Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system., Symbolic computation and construction of soliton-like solutions for a breaking soliton equation., New exact solutions for modified nonlinear dispersive equations \(mK(m,n)\) in higher dimensions spaces., New exact solutions for some nonlinear differential equations using symbolic computation., Various exact solutions for two special type RKL models, GENERALIZED EXTENDED TANH-FUNCTION METHOD TO CONSTRUCT NEW EXPLICIT EXACT SOLUTIONS FOR THE APPROXIMATE EQUATIONS FOR LONG WATER WAVES, CONSTRUCTING FAMILIES TRAVELING WAVE SOLUTIONS IN TERMS OF SPECIAL FUNCTION FOR THE ASYMMETRIC NIZHNIK–NOVIKOV–VESSELOV EQUATION, Lie symmetry analysis and some exact solutions of \((2+1)\)-dimensional KdV-Burgers equation, Explicit solutions to the \((3+1)\)-dimensional Kudryashov-Sinelshchikov equations in bubbly flow dynamics, Generalized algebraic method and new exact traveling wave solutions for \((2 + 1)\)-dimensional dispersive long wave equation, EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS WITH NONLINEAR TERMS OF ANY ORDER, The subsidiary ordinary differential equations and the exact solutions of the higher order dispersive nonlinear Schrödinger equation, Exact solutions of generalized Zakharov and Ginzburg-Landau equations, A nonconvex dissipative system and its applications. II, Symbolic computation and construction of soliton-like solutions to the \((2 + 1)\)-dimensional dispersive long-wave equations, Construction of new soliton-like solutions for the \((2+1)\) dimensional Kadomtsev-Petviashvili equation, A polynomial expansion method and its application in the coupled Zakharov-Kuznetsov equations, Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method, An application of the decomposition method for the two-dimensional KdV-Burgers equation, GENERALIZED RICCATI EQUATION EXPANSION METHOD AND ITS APPLICATION TO THE (2+1)-DIMENSIONAL BOUSSINESQ EQUATION, Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method, On the solution of the coupled Schrödinger-KdV equation by the decomposition method, Generalized Riccati equation expansion method and its application to the (3 + 1)-dimensional Jumbo-Miwa equation, Applications of the Jacobi elliptic function method to special-type nonlinear equations, The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation, Lie symmetries and exact solutions of KdV-Burgers equation with dissipation in dusty plasma, Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
Uses Software
Cites Work
- Generalized tanh method with symbolic computation and generalized shallow water wave equation
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- A note on the homogeneous balance method
- Extended tanh-function method and its applications to nonlinear equations
- Solitary wave solutions of nonlinear wave equations
- Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
- Travelling wave solutions to the two-dimensional KdV-Burgers equation
- An exact solution to two-dimensional Korteweg-de Vries-Burgers equation
- Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation
- One-Dimensional Flow of Liquids Containing Small Gas Bubbles
- Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
