Exact Solutions Expressible in Rational Formal Hyperbolic and Elliptic Functions for Nonlinear Differential-Difference Equation |
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| Authors: | BAI Cheng-Jie ZHAO Hong HAN Ji-Guang |
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| Affiliation: | 1. School of Communication, Shandong Normal University, Jinan 250014, China;2. School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | A new approach is presented by means of a new general ansätz and some relations among Jacobian ellipticfunctions, which enables one to construct more new exact solutionsof nonlinear differential-difference equations. As an example, weapply this new method to Hybrid lattice, discretized mKdV lattice,and modified Volterra lattice. As a result, many exact solutionsexpressible in rational formal hyperbolic and elliptic functionsare conveniently obtained with the help of Maple. |
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| Keywords: | nonlinear differential-differenceequations new approach exact solutions |
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