What is it about?
In this work, we investigate dimensionally reduced generalised Kadomtsev-Petviashvili equation, which can describe many nonlinear phenomena in fluid dynamics. Based on the bilinear formalism, direct Maple symbolic computations are used with an ansätz function to construct three classes of interaction solutions between lump and line solitons.
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Why is it important?
Recently, the interaction between lump and solitary wave solutions has attracted the attention of many researchers because of its importance to represent new physical phenomena arising in many fields, such as plasma physics, optics, gas dynamics, nuclear physics, etc.
Perspectives
We hope our work in this paper contributes to the understanding of the propagation processes for nonlinear waves in fluid mechanics.
Iftikhar Ahmed
International Islamic University
Read the Original
This page is a summary of: Interaction Solutions for Lump-line Solitons and Lump-kink Waves of the Dimensionally Reduced Generalised KP Equation, Zeitschrift für Naturforschung A, January 2017, De Gruyter,
DOI: 10.1515/zna-2017-0184.
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