Resonant multiple wave solutions to some integrable soliton equations

• 来源期刊: 中国物理B（英文版）
• 关键词: linear superposition principle resonant multiple wave solutions (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation (3 + 1)-dimensional g-KP and BKP equations
• 年，卷（期）: 2019,（11）
• 页码范围: 101-108
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab4d47

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 KadomtsevPetviashvili (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.