Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation (Q784037)

scientific article; zbMATH DE number 7228242

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English	Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation	scientific article; zbMATH DE number 7228242

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scholarly article

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title

Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation (English)

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5 August 2020

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zbMATH Keywords

rational solutions

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lump solutions

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variable-coefficient Kadomtsev-Petviashvili equation

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Hirota's bilinear form

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11071-018-4612-4

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cites work

An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients

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Bilinear forms and dark soliton behaviors for a higher-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous alpha helical protein

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Compact and noncompact physical structures for the ZK-BBM equation

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Multi-soliton solutions for a \((2+1)\)-dimensional variable-coefficient nonlinear Schrödinger equation

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A two-mode modified KdV equation with multiple soliton solutions

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Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique

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Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation

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A new integrable equation that combines the KdV equation with the negative-order KdV equation

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Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form

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Method for Solving the Korteweg-deVries Equation

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The Darboux transformation of the derivative nonlinear Schrödinger equation

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Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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Multiple soliton solutions for the new \((2 + 1)\)-dimensional Korteweg-de Vries equation by multiple \(\exp\)-function method

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Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium

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Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber

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Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations

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Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients

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Negative-order integrable modified KdV equations of higher orders

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Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation

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New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions

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Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation

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A Pair of Resonance Stripe Solitons and Lump Solutions to a Reduced (3+1)-Dimensional Nonlinear Evolution Equation

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Lump and lump-kink solutions of the \((3+1)\)-dimensional Jimbo-Miwa and two extended Jimbo-Miwa equations

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Q5621188

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Wave collapse in plasmas and fluids

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Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation

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Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation

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Determinant solutions to a \((3+1)\)-dimensional generalized KP equation with variable coefficients

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Q5358856

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Identifiers

zbMATH Open document ID

1439.35418

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Mathematics Subject Classification ID

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10.1007/S11071-018-4612-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:784037