Exact solutions to the four-component Merola-Ragnisco-Tu lattice equations

DOI10.1007/978-3-030-75890-5_26OpenAlexW3189150665MaRDI QIDQ2679192

Aleksandr V. Ratushny, Aleksandr I. Zemlyanukhin, Andrey V. Bochkarev

Publication date: 19 January 2023

Full work available at URL: https://doi.org/10.1007/978-3-030-75890-5_26

zbMATH Keywords

exact solutionPadé approximantdifferential-difference equationgeometric series method

Mathematics Subject Classification ID

Mechanics of particles and systems (70-XX)

Uses Software

• DDESpecialSolutions

Cites Work

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• Darboux transformations and recursion operators for differential-difference equations
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• Exact solutions of the Kudryashov-Sinelshchikov equation
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• Solving an integrable coupling system of Merola-Ragnisco-Tu lattice equation by Darboux transformation of Lax pair
• An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family
• Elliptic solutions to difference nonlinear equations and related many-body problems
• The geometric series method for constructing exact solutions to nonlinear evolution equations
• Geometric series method and exact solutions of differential-difference equations
• Two-component generalized Ragnisco-Tu equation and the Riemann-Hilbert problem
• Nonlinear differential−difference equations
• A novel hierarchy of integrable lattices
• Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
• Explicit auto-transformations of integrable chains
• Numerical Methods for Ordinary Differential Equations

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