The new exact solitary and multi-soliton solutions for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation
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Publication:1999674
DOI10.1016/j.camwa.2018.01.014zbMath1415.35244OpenAlexW2793390268MaRDI QIDQ1999674
Publication date: 27 June 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.014
multi-solitonZakharov-Kuznetsov equationsimplest equation methodsolitarycoupled Burgers' equationselectric field potential
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Cites Work
- Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
- Stability analysis for Zakharov-Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma
- One method for finding exact solutions of nonlinear differential equations
- Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation
- A one-soliton solution of the \(ZK(m,n,k)\) equation with generalized evolution and time-dependent coefficients
- On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation
- Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method
- New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation
- Seven common errors in finding exact solutions of nonlinear differential equations
- Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
- The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
- Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
- The first integral method for solving some important nonlinear partial differential equations
- The exp-function approach to the Schwarzian Korteweg-de Vries equation
- A new exact solution of Burgers' equation with linearized solution
- Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures
- Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form
- Extended simplest equation method for nonlinear differential equations
- Explicit travelling wave solutions of variants of the \(K(n,n)\) and the \(ZK(n,n)\) equations with compact and noncompact structures
- The first integral method for constructing exact and explicit solutions to nonlinear evolution equations
- Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions
- Solitary waves solutions for extended forms of quantum Zakharov–Kuznetsov equations
- Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics
