Pathway to turbulence as governed by a generalized nonlinear Schrodinger equation
作者单位：School of Mathematics and Statistics ScienceLudong University Institute for Fusion Theory and SimulationDepartment of PhysicsZhejiang University
会议名称：《第十六届全国等离子体科学技术会议暨第一届全国等离子体医学研讨会》
会议日期：2013年
学科分类：080704[工学-流体机械及工程] 07[理学] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）]
摘 要：Evolution of a localized large-amplitude pulse in an isotropic external potential well is investigated in two dimensions using a cubic nonlinear Schrodinger equation generalized to allow for complex *** a result,the generalized equation is also in the form of a generalized reaction-diffusion *** equations are ubiquitous in physics, chemistry,biology,engineering,as well as in economics and *** this work,viscous heating and nonlinear damping are *** is found that the initial pulse first suffers modulational instability and then collapses into the shortest-wavelength modes of very large amplitudes because of the enhanced viscous *** cascading back into the longer wavelength modes then takes place until the system finally settles down into a state of fairly homogeneous stationary *** a scenario can occur because,for the parameters chosen,balance of the total system energy can take place during the evolution even though the system is open.