Resonant multiple wave solutions to some integrable soliton equations

作     者：刘建根 杨小军 冯忆颖 Jian-Gen Liu;Xiao-Jun Yang;Yi-Ying Feng

作者机构：School of MathematicsChina University of Mining and TechnologyXuzhou 221116China State Key Laboratory for Geomechanics and Deep Underground EngineeringChina University of Mining and TechnologyXuzhou 221116China School of Mechanics and Civil EngineeringChina University of Mining and TechnologyXuzhou 221116China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2019年第28卷第11期

页      面：92-98页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：Project supported by the Yue-Qi Scholar of the China University of Mining and Technology(Grant No.102504180004) the 333 Project of Jiangsu Province,China(Grant No.BRA2018320) 

主　　题：linear superposition principle resonant multiple wave solutions (2+1)-dimensional Kadomtsev–Petviashvili(KP) equation (3+1)-dimensional g-KP and BKP equations 

摘      要：To transform the exponential traveling wave solutions to bilinear differential equations, a sufficient and necessary condition is proposed. Motivated by the condition, we extend the results to the(2+1)-dimensional Kadomtsev–Petviashvili(KP) equation, the(3+1)-dimensional generalized Kadomtsev–Petviashvili(g-KP) equation, and the B-type Kadomtsev–Petviashvili(BKP) equation. Aa a result, we obtain some new resonant multiple wave solutions through the parameterization for wave numbers and frequencies via some linear combinations of exponential traveling waves. Finally, these new resonant type solutions can be displayed in graphs to illustrate the resonant behaviors of multiple wave solutions.