GENERALIZATION TO CYLINDRICAL COORDINATE SYSTEM FOR THE HIGHER ORDER KDV AND KP EQUATION

作     者：HUANG Guoxiang DAI Xianxi LOU Senyue 

作者机构：Department of PhysicsFudan UniversityShanghai 200433 Department of PhysicsNingbo Normal CollegeNingbo 315211 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：1990年第7卷第2期

页      面：64-67页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Project supported by the National Science Foundation of China 

主　　题：cylindrical equation coordinate 

摘      要：Two new model equations which we call a higher order cylindrical KdV equation and a higher order cylindrical KP equation are proposed when we consider the 2-dimensional modulation of water waves with surface tension in cylindrical coordinate *** exact (2+1)-dimensional solitary wave solutions have been obtained by relating them to the higher order KdV equation through an appropriate variable transformation.