Different wave structures for the completely generalized Hirota-Satsuma-Ito equation (Q6543296)

scientific article; zbMATH DE number 7852975

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English	Different wave structures for the completely generalized Hirota-Satsuma-Ito equation	scientific article; zbMATH DE number 7852975

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title

Different wave structures for the completely generalized Hirota-Satsuma-Ito equation (English)

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24 May 2024

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zbMATH Keywords

Hirota-Satsuma-Ito equation

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multiple lump

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dynamical behavior

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lump wave

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MaRDI profile type

Publication

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cites work

Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

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Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber

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Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system

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New double periodic exact solutions of the coupled Schrödinger-Boussinesq equations describing physical processes in laser and plasma physics

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Rogue waves for a \((2+1)\)-dimensional Gross-Pitaevskii equation with time-varying trapping potential in the Bose-Einstein condensate

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Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions

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\(N\)th-order rogue waves for the \(AB\) system via the determinants

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Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction

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Quasi-periodic waves and irregular solitary waves of the <i>AB</i> system

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

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\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves

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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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Painlevé analysis, lump-kink solutions and localized excitation solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

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Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics

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Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations

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Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3 + 1)-dimensional generalized breaking soliton equation

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Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms

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Multi-waves, breather wave and lump-stripe interaction solutions in a \((2+1)\)-dimensional variable-coefficient Korteweg-de Vries equation

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Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions

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A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS

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Various exact analytical solutions of a variable-coefficient Kadomtsev-Petviashvili equation

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A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation

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New \((3 + 1)\)-dimensional date-Jimbo-Kashiwara-Miwa equations with constant and time-dependent coefficients: Painlevé integrability

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A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves

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Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior

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Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion

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Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation

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\(N\)-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics

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Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation

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Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation

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Multiple rogue wave solutions for \((2+1)\)-dimensional Boussinesq equation

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New non-traveling wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation

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Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid

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Identifiers

zbMATH Open document ID

1537.35147

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Mathematics Subject Classification ID

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10.1007/S11071-021-06602-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6543296