Symbolic Computation of Extended Jacobian Elliptic Function Algorithm for Nonlinear Differential-Different Equations

The Jacobian elliptic function expansion method for nonlinear differential-different equations and its algorithm are presented by using some relations among ten Jacobian elliptic functions and successfully construct more new exact doubly-periodic solutions of the integrable discrete nonlinear Schrodinger equation. When the modulous m → 1or 0, doubly-periodic solutions degenerate to solitonic solutions including bright soliton, dark soliton, new solitons as well as trigonometric function solutions.

作 者： DAI Chao-Qing MENG Jian-Ping ZHANG Jie-Fang   作者單位： Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China  刊 名： 理論物理通訊（英文版）  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2005 43(3)  分類號(hào)：   關(guān)鍵詞： integrable discrete nonlinear Schrodinger equation   extended Jacobian elliptic function expansion approach   doubly-periodic wave solutions   solitonic solutions   singly-periodic wave solutions  

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