A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws

被引：0
作者：
Dumitru Baleanu
Ali Saleh Alshomrani
Malik Zaka Ullah
机构：
[1] Cankaya University,Department of Mathematics
[2] Institute of Space Sciences,Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, Faculty of Science
[3] King Abdulaziz University,undefined
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fourth-order integrable nonlinear equation; Lump solutions; Interaction solutions; Invariant analysis; Conservation laws;
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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.
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