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Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation - MaRDI portal

Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation (Q2008481)

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Please use this page instead for the normal view: Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation

scientific article; zbMATH DE number 7136504

Language	Label	Description	Also known as
English	Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation	scientific article; zbMATH DE number 7136504

Statements

scholarly article

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Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation (English)

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Applied Mathematics and Computation

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publication date

25 November 2019

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zbMATH Keywords

\((3 + 1)\)-dimensional BKP-Boussinesq equation

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Bell polynomials

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Painlevé analysis

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exact solutions

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.amc.2018.11.050

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A note on the homogeneous balance method

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The tanh method for traveling wave solutions of nonlinear equations

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A sine-cosine method for handling nonlinear wave equations

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Construction of solitary solution and compacton-like solution by variational iteration method

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Jacobian elliptic function method for nonlinear differential-difference equations

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New exact travelling wave solutions using modified extended tanh-function method

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

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The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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The \((\frac{G'}{G})\)-expansion method for nonlinear differential-difference equations

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The Painlevé property for partial differential equations

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The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative

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Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV–mKdV equation in fluids and plasmas

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New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model

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Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation

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Linear superposition principle applying to Hirota bilinear equations

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Binary Bell polynomials, bilinear approach to exact periodic wave solutions of (2 + 1)-dimensional nonlinear evolution equations

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Lump solutions to the Kadomtsev-Petviashvili equation

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Bilinear Bäcklund transformations and explicit solutions of a \((3+1)\)-dimensional nonlinear equation

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

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The \(n\)th reduced BKP hierarchy, the string equation and \(BW_{1+\infty}\)-constraints

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Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the \((2+1)\)-dimensional BKP equation

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Quantum torus symmetry of the KP, KdV and BKP hierarchies

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On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics

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Rogue Waves and Lump Solitons of the (3+1)-Dimensional Generalized B-type Kadomtsev–Petviashvili Equation for Water Waves

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A class of exact solutions of \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation

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Lump solutions to the BKP equation by symbolic computation

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Quasi-periodic solutions of \((3+1)\) generalized BKP equation by using Riemann theta functions

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New exact solutions for the (3+1)-dimensional generalized BKP equation

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Grammian-type determinant solutions to generalized KP and BKP equations

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Analytic solutions of a microstructure PDE and the KdV and Kadomtsev-Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques

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Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids

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Exact solutions for nonlinear evolution equations using novel test function

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2018.11.050

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Sitelinks

Mathematics(1 entry)

mardi Publication:2008481

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