期刊
MODERN PHYSICS LETTERS B
卷 33, 期 25, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984919502993
关键词
Linear superposition principle; fifth-order KdV; (2+1)-dimensional Caudrey-Dodd-Gibbon equation; (3+1)-dimensional generalized Kadomtsev-Petviashvili equation; resonant multi-soliton waves; inelastic interactions
资金
- Ministry of National Defense
- Ministry of Science and Technology, R.O.C. [MOST 108-2221-E-344-002]
In this paper, the simplified linear superposition principle is presented and employed to handle two versions of the fifth-order KdV equations, called the (2 + 1)-dimensional Caudrey-Dodd-Gibbon (CDG) equation and the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (KP) equation, respectively. Two general forms of resonant multi-soliton solutions are formally obtained. The paper proceeds step-by-step with increasing detail about the derivation process. Firstly, illustrate the algorithms of the linear superposition principle which paves the way for solving the wave related numbers. Then, demonstrate its application that exposes the proposed approach provides enough freedom to construct resonant multi-soliton wave solutions. Finally, some graphical representations of obtained solutions are portrayed by taking some definite values to free parameters, which describe various versions of inelastic interactions of resonant multi-soliton waves. The associated propagations may be related to large variety of real physical phenomena.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据