Families of exact solutions of the generalized (3+1)-dimensional nonlinear-wave equation

被引：19

作者：

Liu, Wenhao ^{[1
]}

Zhang, Yufeng ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 29期

关键词：

Generalized (3+1)-dimensional nonlinear-wave equation; bright soliton solutions; breathers; rational solutions; RATIONAL SOLUTIONS; GAS-BUBBLES; SYSTEM;

D O I：

10.1142/S0217984918503591

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, the traveling wave method is employed to investigate the one-soliton solutions to two different types of bright solutions for the generalized (3+1)-dimensional nonlinear-wave equation, primarily. In the following parts, we derive the breathers and rational solutions by using the Hirota bilinear method and long-wave limit. More specifically, we discuss the lump solution and rogue wave solution, in which their trajectory will be changed by varying the corresponding coefficient or coordinate axis. On the one hand, the breathers express the form of periodic line waves in different planes, on the other hand, rogue waves are localized in time.

引用

页数：11

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