New periodic and soliton wave solutions for the generalized Zakharov system and \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov system
From MaRDI portal
Publication:603775
DOI10.1016/j.chaos.2009.03.064zbMath1198.35216OpenAlexW2043457673MaRDI QIDQ603775
L. Maryam Vahdat, M. M. Kabir, Abdollah Borhanifar
Publication date: 8 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2009.03.064
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton solutions (35C08)
Related Items (22)
Algebraic traveling wave solutions, Darboux polynomials and polynomial solutions ⋮ Approximation to the global solution of generalized Zakharov equations in \(\mathbb{R}^2\) ⋮ A comparison of analytical solutions of nonlinear complex generalized Zakharov dynamical system for various definitions of the differential operator ⋮ Conservation laws, Lie symmetry and Painlevé analysis of the variable coefficients NNV equation ⋮ Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation ⋮ Algebraic travelling waves for the generalized Burgers-Fisher equation ⋮ Algebraic traveling waves for the generalized viscous Burgers equation ⋮ Application of the \((\frac{G'}{G})\)-expansion method for the Zhiber-Shabat equation and other related equations ⋮ Application of bifurcation method to the generalized Zakharov equations ⋮ Exact propagating dromion-like localized wave solutions of generalized \((2+1)\)-dimensional Davey-Stewartson equations ⋮ Exact solutions for non-linear Schrödinger equations by differential transformation method ⋮ Analytic solutions for generalized forms of the nonlinear heat conduction equation ⋮ Application of \((\frac{G'}{G})\)-expansion method to regularized long wave (RLW) equation ⋮ Generalized hyperbolic function solution to a class of nonlinear Schrödinger-type equations ⋮ Traveling wave solutions for the generalized Zakharov equations ⋮ Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system ⋮ A new operational approach for numerical solution of generalized functional integro-differential equations ⋮ Algebraic traveling waves for the generalized Newell-Whitehead-Segel equation ⋮ Generalized Jacobi elliptic function solution to a class of nonlinear Schrödinger-type equations ⋮ Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations ⋮ A new rational auxiliary equation method and exact solutions of a generalized Zakharov system ⋮ Weierstrass elliptic solutions to a Zakharov equation in plasmas with power law nonlinearity
Cites Work
- Unnamed Item
- Comment on: ``On the extended applications of homogeneous balance method
- Numerical simulation of a generalized Zakharov system
- Trilinearization and localized coherent structures and periodic solutions for the \((2 + 1)\) dimensional K-dV and NNV equations
- Application of Exp-function method for nonlinear evolution equations with variable coefficients
- Generalized extended tanh-function method and its application
- The repeated homogeneous balance method and its applications to nonlinear partial differential equations
- Exact solutions to the double sinh-Gordon equation by the tanh method and a variable separated ODE method
- Adomian decomposition method for solving fractional nonlinear differential equations
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- New solitary wave and periodic wave solutions to the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system
- Variational iteration method: New development and applications
- Exp-function method for nonlinear wave equations
- Application of exp-function method to high-dimensional nonlinear evolution equation
- Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
- Variational iteration method -- some recent results and new interpretations
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
- Homogeneous balance method and chaotic and fractal solutions for the Nizhnik-Novikov-Veselov equation
- Applications of extended tanh method to `special' types of nonlinear equations
- Modified extended tanh-function method and its applications to nonlinear equations
- Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations
- On an improved complex tanh-function method
- Homotopy perturbation method for bifurcation of nonlinear problems
- Couette and Poiseuille flows for non-Newtonian fluids
- Application of variational iteration method to nonlinear differential equations of fractional order
- Applications of the Jacobi elliptic function method to special-type nonlinear equations
- Discretizing constant curvature surfaces via loop group factorizations: The discrete sine- and sinh-Gordon equations
- Difference scheme for three-frequency interaction of femtosecond pulses in the presence of nonlinear response dispersion
- New periodic and soliton solutions of nonlinear evolution equations
- New exact travelling wave solutions using modified extended tanh-function method
- Extended tanh-function method and reduction of nonlinear Schrödinger-type equations to a quadrature
- Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
- The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
- Limit cycle and bifurcation of nonlinear problems
- Application of homotopy perturbation method to nonlinear wave equations
- Construction of solitary solution and compacton-like solution by variational iteration method
- New periodic solutions for nonlinear evolution equations using Exp-function method
- On the coherent structures of the Nizhnik-Novikov-Veselov equation
- Numerical Analysis and Its Applications
This page was built for publication: New periodic and soliton wave solutions for the generalized Zakharov system and \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov system
