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A New Fourth-order Integrable Nonlinear Equation: Breather, Rogue Waves, Other Lump Interaction Phenomena, and Conservation Laws by Dumitru Baleanu; Ali Saleh Alshomrani; Malik Zaka Ullah is a Mathematics article available to read on EtoBox.

What is A New Fourth-order Integrable Nonlinear Equation: Breather, Rogue Waves, Other Lump Interaction Phenomena, and Conservation Laws about?

## Abstract 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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Author

Dumitru Baleanu; Ali Saleh Alshomrani; Malik Zaka Ullah

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)