Symmetrical Lucas functions for the solutions of the lattice equation

DOI10.1016/j.cnsns.2011.07.004zbMath1266.34020OpenAlexW2038373376MaRDI QIDQ430384

Yan-cheng Dong, Yang Feng

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.07.004

zbMATH Keywords

lattice equationauxiliary function methodsymmetrical Lucas functions

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Ordinary lattice differential equations (34A33)

Uses Software

• DDESpecialSolutions

Cites Work

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• A simple transformation for nonlinear waves.
• Extended tanh-function method and its applications to nonlinear equations
• On the Solution of a Class of Nonlinear Partial Difference Equations
• Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
• Symmetries and differential equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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