Application of symbolic computation in nonlinear differential-difference equations

DOI10.1155/2009/158142zbMath1183.34102OpenAlexW2097794763WikidataQ58647396 ScholiaQ58647396MaRDI QIDQ1040099

Min Ji, Fuding Xie, Zhen Wang

Publication date: 23 November 2009

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228238

zbMATH Keywords

closed-form solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Explicit solutions, first integrals of ordinary differential equations (34A05) General theory of functional-differential equations (34K05)

Uses Software

• DDESpecialSolutions

Cites Work

• A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• Coupled nonlinear waves
• Computation of conservation laws for nonlinear lattices
• Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach
• Multi-component Volterra and Toda type integrable equations
• Wave Propagation in Nonlinear Lattice. I
• Nonlinear differential−difference equations
• Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
• Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions