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非线性Schrdinger方程组的精确解组
Exact solutions of nonlinear Shrdinger equations
【摘要】 运用Maple语言程序,在没有假设的条件下,得到了具有耦合特性的非线性Schrdinger方程组的行波精确解组及其约束条件方程,它们的表达式涵盖了所有的耦合解组与非耦合解组,具有任意性。耦合解组的算例函数及其特性分析,解释了α螺旋蛋白质螺旋链运动模型的行波孤立子解的耦合效应,揭示了增加、稳定和控制蛋白质活性和功能的方向。文章的研究方法,为求解耦合的非线性微分方程组的行波精确解组探索了蹊径。
【Abstract】 A Maple language process is utilized to find the traveling wave accurate solutions and their restricting condition equation for nonlinear Schrdinger 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.
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2005年10期
- 【分类号】O411.1
- 【被引频次】7
- 【下载频次】131