Exact solutions of nonlinear Shrodinger equations

被引：2

作者：

Pu, LC ^{[1
]}

Lin, ZB ^{[1
]}

Zhang, XF ^{[1
]}

Wang, BJ ^{[1
]}

Jiang, Y ^{[1
]}

Yan, TY ^{[1
]}

机构：

[1] Panzhihua Univ, Dept Math & Phys, Panzhihua 617000, Peoples R China

来源：

ACTA PHYSICA SINICA | 2005年 / 54卷 / 10期

关键词：

nonlinear Schrodinger equations; Maple language; coupling; traveling wave accurate solutions; calculation and characteristic analysis;

D O I：

10.7498/aps.54.4472

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Maple language process is utilized to find the traveling wave accurate solutions and their restricting condition equation for nonlinear Schrodinger equations with coupling characteristic without any assumptions. The expressions are arbitrary and cover all coupling solutions and non - coupling solutions. The calculation and characteristic analysis for the coupling solutions can explain the coupling effect of traveling wave solition solutions of the helix chain movement model for the alpha-helix protein and reveal the direction in which the protein activation and function are increased and fixed. The research methods in this paper provide certain ways for obtaining the traveling wave accurate solutions of the coupling nonlinear differential equations.

引用

页码：4472 / 4477

页数：6

共 9 条

[1] CHEN LL, 1996, J KUNMING U SCI TECH, V21, P85
[2] SOLITONS IN MOLECULAR-SYSTEMS
DAVYDOV, AS
[J]. PHYSICA SCRIPTA, 1979, 20 (3-4): : 387 - 394
[3] HUANG NN, 1996, THEORY SOLITONS METH, P26
[4] PU LC, 2005, ACTA PHYS SINICA, V54, P209
[5] Solution of the nonlinear Schrodinger equation using the generalized Lie group reduction method
Ruan, HY
Li, HJ
[J]. ACTA PHYSICA SINICA, 2005, 54 (03) : 996 - 1001
[6] DAVYDOV SOLITON REVISITED
SCOTT, AC
[J]. PHYSICA D, 1991, 51 (1-3): : 333 - 342
[7] WU GM, 1995, ACTA MATH SCI, V17, P18
[8] WU GM, 1995, J KUNMING I TECHNOLO, V20, P64
[9] The variable separation approach and study on solving the variable-coefficient nonlinear Schrodinger equation
Zhang, JF
Xu, CZ
He, BG
[J]. ACTA PHYSICA SINICA, 2004, 53 (11) : 3652 - 3656

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