Bell polynomials and superposition wave solutions of Hirota-Satsuma coupled KdV equations (Q6573513)

scientific article; zbMATH DE number 7881940

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English	Bell polynomials and superposition wave solutions of Hirota-Satsuma coupled KdV equations	scientific article; zbMATH DE number 7881940

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scholarly article

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title

Bell polynomials and superposition wave solutions of Hirota-Satsuma coupled KdV equations (English)

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16 July 2024

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zbMATH Keywords

symbolic calculation

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Bell polynomials

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infinite conservation laws

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nonlinear superposition formula

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HSCKdV equations

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Publication

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cites work

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Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model

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Integrability aspects and some abundant solutions for a new (4 + 1)-dimensional KdV-like equation

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Construction of Bäcklund Transformations with Binary Bell Polynomials

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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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Integrability, breather, lump and quasi-periodic waves of non-autonomous Kadomtsev-Petviashvili equation based on Bell-polynomial approach

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Solving the KdV hierarchy with self-consistent sources by inverse scattering method

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Integrable \((3+1)\)-dimensional systems with rational Lax pairs

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Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation

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Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation

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Higher-order mixed solution and breather solution on a periodic background for the Kundu equation

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Q4390165

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Auxiliary equation method for solving nonlinear partial differential equations

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Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation

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Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method

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A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system

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Effect of kinematic viscosity on ion acoustic waves in superthermal plasma comprising cylindrical and spherical geometry

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Output tracking for an Euler–Bernoulli beam equation with moment boundary control and shear boundary disturbance

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The Derivative Yajima–Oikawa System: Bright, Dark Soliton and Breather Solutions

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Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy

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A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations

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New positon, negaton and complexiton solutions for the Hirota-Satsuma coupled KdV system

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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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Q4828547

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.WAVEMOTI.2024.103271

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Sitelinks

Mathematics(1 entry)

mardi Publication:6573513