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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 - MaRDI portal

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 (Q5104265)

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scientific article; zbMATH DE number 7583662

Language	Label	Description	Also known as
English	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	scientific article; zbMATH DE number 7583662

Statements

scholarly article

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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 (English)

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Waves in Random and Complex Media

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publication date

9 September 2022

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zbMATH Keywords

completely integrable equations

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multi-soliton solutions

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KdV equation

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Kadomtsev-Petviashvili equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/17455030.2018.1456703

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Partial differential equations and solitary waves theory

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Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system

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Multiple-front solutions for the Burgers equation and the coupled Burgers equations

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Exp-function method for nonlinear wave equations

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Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method

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The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants

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The first integral method for modified Benjamin-Bona-Mahony equation

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The first integral method for solving some important nonlinear partial differential equations

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The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations

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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

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A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations

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The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation

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One method for finding exact solutions of nonlinear differential equations

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On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation

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Seven common errors in finding exact solutions of nonlinear differential equations

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Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

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Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs

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Extended simplest equation method for nonlinear differential equations

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Modified simple equation method for nonlinear evolution equations

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A new exact solution of Burgers' equation with linearized solution

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Multiple soliton solutions for the variant Boussinesq equations

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Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm

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New Multi-soliton Solutions for the (2+1)-Dimensional Kadomtsev–Petviashvili Equation

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A multiple exp-function method for nonlinear differential equations and its application

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Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions

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Solitary wave solutions of nonlinear wave equations

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Multiple kink solutions for two coupled integrable (2+1)-dimensional systems

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The new exact solitary and multi-soliton solutions for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation

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Identifiers

zbMATH Open document ID

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10.1080/17455030.2018.1456703

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5104265

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