Advances in Difference Equations | |
A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws | |
Dumitru Baleanu1  Malik Zaka Ullah2  Ali Saleh Alshomrani2  | |
[1] Department of Mathematics, Cankaya University, 06530, Ankara, Turkey;Institute of Space Sciences, Bucharest, Romania;Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia; | |
关键词: Fourth-order integrable nonlinear equation; Lump solutions; Interaction solutions; Invariant analysis; Conservation laws; | |
DOI : 10.1186/s13662-021-03352-6 | |
来源: Springer | |
【 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.
【 授权许可】
CC BY
【 预 览 】
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RO202107031313395ZK.pdf | 3012KB | download |