具有色散系数的(2+1)维非线性Schrdinger方程的有理解和空间孤子  

Rational solutions and spatial solitons for the (2+l)-dimensional nonlinear Schrdinger equation with distributed coefficients

作　　者：马正义[1,2] 马松华[1] 杨毅[1] 

机构地区：[1]丽水学院理学院,丽水323000 [2]宁波大学理学院,宁波315211

出　　处：《物理学报》2012年第19期82-86,共5页Acta Physica Sinica

基　　金：应用非线性科学与技术浙江省重中之重学科开放基金;浙江省自然科学基金(批准号:Y606049,Y6100257)资助的课题~~

摘　　要：非线性Schrdinger方程是物理学中具有广泛应用的非线性模型之一.本文采用相似变换,将具有色散系数的(2+1)维非线性Schrdinger方程简化成熟知的Schrdinger方程,进而得到原方程的有理解和一些空间孤子.The nonlinear Schroedinger equation is one of the most important nonlinear models with widely applications in physics. Based on a similarity transformation, the （2＋1）-dimensional nonlinear Schroedinger equation with distributed coefficients is transformed into a traceable nonlinear Schroedinger equation, and then two types of rational solutions and several spatial solitons are derived.

关 键 词：非线性Schrdinger方程 相似变换 有理解 孤子结构 

分 类 号：O241.82[理学—计算数学]