文章基本信息

标题：A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws
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作者：Dumitru Baleanu ; Ali Saleh Alshomrani ; Malik Zaka Ullah 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03352-6
出版社：Hindawi Publishing Corporation
摘要：In this study, we investigate a new fourth-order integrable nonlinear equation. Firstly, by means of the efficient Hirota bilinear approach, we establish novel types of solutions which include breather, rogue, and three-wave solutions. Secondly, with the aid of Lie symmetry method, we report the invariance properties of the studied equation such as the group of transformations, commutator and adjoint representation tables. A differential substitution is found by nonlinear self-adjointness (NSA) and thereafter the associated conservation laws are established. We show some dynamical characteristics of the obtained solutions through via the 3-dimensional and contour graphs.
关键词：Fourth-order integrable nonlinear equation ; Lump solutions ; Interaction solutions ; Invariant analysis ; Conservation laws