Novel methods for finding general forms of new multi-soliton solutions to (1+1)-dimensional KdV equation and (2+1)-dimensional Kadomtsev–Petviashvili (KP) equation
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Publication:5104265
DOI10.1080/17455030.2018.1456703zbMath1505.35321OpenAlexW2796076737MaRDI QIDQ5104265
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2018.1456703
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Cites Work
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- Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
- Multiple soliton solutions for the variant Boussinesq equations
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- One method for finding exact solutions of nonlinear differential equations
- Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
- On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation
- Modified simple equation method for nonlinear evolution equations
- 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 first integral method for modified Benjamin-Bona-Mahony equation
- 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 extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations
- Exp-function method for nonlinear wave equations
- Partial differential equations and solitary waves theory
- A new exact solution of Burgers' equation with linearized solution
- A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
- The new exact solitary and multi-soliton solutions for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation
- Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions
- Extended simplest equation method for nonlinear differential equations
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations
- The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
- Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system
- The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
- The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
- A multiple exp-function method for nonlinear differential equations and its application
- Solitary wave solutions of nonlinear wave equations
- New Multi-soliton Solutions for the (2+1)-Dimensional Kadomtsev–Petviashvili Equation
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