Lump and lump-multi-kink solutions in the (3+1)-dimensions (Q6495265)

scientific article; zbMATH DE number 7840916

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English	Lump and lump-multi-kink solutions in the (3+1)-dimensions	scientific article; zbMATH DE number 7840916

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instance of

scholarly article

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title

Lump and lump-multi-kink solutions in the (3+1)-dimensions (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

30 April 2024

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zbMATH Keywords

lump solutions

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(3+1)-dimensional nonlinear evolution equations

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lump-multi-kink solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients

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Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model

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Lump solutions to the Kadomtsev-Petviashvili equation

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<i>N</i>-Soliton Solutions of Model Equations for Shallow Water Waves

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Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

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Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws

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Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation

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Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation

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New general interaction solutions to the KPI equation via an optional decoupling condition approach

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Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber

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

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Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma

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Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach

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Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles

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Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations

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Q4002235

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Bilinear transformation method

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Q4828547

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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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Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves

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Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation

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Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation

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Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation

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Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation

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Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations

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Interaction phenomena between a lump and other multi-solitons for the \((2+1)\)-dimensional BLMP and Itô equations

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Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system

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Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

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

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CNSNS.2021.106103

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Sitelinks

Mathematics(1 entry)

mardi Publication:6495265