Extended (G′ over G)-expansion method for Relativistic Toda Lattice system

Yan Sun, T. Xia
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Abstract

The extended (G′ over G)-expansion method is stricter and more effective to solve nonlinear differential-difference equations than (G′ over G)-expansion method. Hyperbolic function solutions and trigonometric function solutions with parameters are obtained. When the parameters are taken as special values, some other known solutions are recovered. In this letter, we list the key steps of the algorithm and take the Relativistic Toda lattice system for example.
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相对论Toda格系的扩展(G ' / G)展开方法
推广的(G′/ G)展开法比(G′/ G)展开法更严格、更有效地求解非线性微分-差分方程。得到了带参数的双曲函数解和三角函数解。当参数作为特殊值时,恢复一些其他已知解。在这封信中,我们列出了算法的关键步骤,并以相对论Toda格系统为例。
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