A modified hyperbolic function method and its application to the Toda lattice

DOI10.1016/J.AMC.2005.02.036zbMath1101.34324OpenAlexW2083059572MaRDI QIDQ2369238

Zhongyuan Yang, Hongyan Zhi, Xueqin Zhao, Hong-Qing Zhang

Publication date: 28 April 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.02.036

zbMATH Keywords

Toda latticehyperbolic function expansion methodkinkshaped solitary wave solution

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (1)

Extended mixed function method and its application for solving two classic Toda lattice equations

Uses Software

• Maple

Cites Work

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• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• Master symmetries for differential-difference equations of the Volterra type
• Theory of nonlinear lattices
• On a further extended tanh method
• Multi-component Volterra and Toda type integrable equations
• A simple transformation for nonlinear waves.
• To a transformation theory of two-dimensional integrable systems
• Extended tanh-function method and its applications to nonlinear equations
• Computation of densities and fluxes of nonlinear differential‐difference equations
• Link between solitary waves and projective Riccati equations
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• New integrable systems related to the relativistic Toda lattice
• Construction scheme for discrete Miura transformations

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