Exploring the generalized fifth-order (2 + 1)-dimensional KdV equation: The lump structures and collision phenomena to the shallow water under gravity and nonlinear lattice

IF 1.6 3区物理与天体物理 Q3 PHYSICS, FLUIDS & PLASMAS

High Energy Density Physics Pub Date : 2025-03-20 DOI:10.1016/j.hedp.2025.101186

Usman Younas , Tukur Abdulkadir Sulaiman , Hajar Farhan Ismael , Patient Zihisire Muke

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引用次数: 0

Abstract

This study deals the lump structures and interaction phenomena to the (2 + 1)-dimensional generalized fifth-order KdV (2GKdV) equation which demonstrates long wave movements under the gravity field and in a two-dimensional nonlinear lattice in shallow water. A variety of solutions like lump periodic, collision between lumps and hyperbolic solutions as well as exponential solutions, breather waves, two wave solutions are under consideration. The Hirota perturbation expansion technique with setting nonzero background wave has been adopted for investing the studied model and securing the solutions. A lump solution is a rational function solution which is real analytic and decays in all directions of space variables. Breather waves refer to solitary waves that exhibit both partial localization and periodic structure in either space or time. Breathers serve crucial functions in nonlinear physics and have been observed in various physical domains, including optics, hydrodynamics, and quantized superfluidity. The specified parameter values produce a variety of graphs with distinctive shapes to visually represent the results. The technique’s performance, clarity, and visibility are highlighted in its suitability for various nonlinear equations in computational physics and other research domains, illustrating collision-related components and solution properties.

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来源期刊

High Energy Density Physics PHYSICS, FLUIDS & PLASMAS-

CiteScore

4.20

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： High Energy Density Physics is an international journal covering original experimental and related theoretical work studying the physics of matter and radiation under extreme conditions. ''High energy density'' is understood to be an energy density exceeding about 1011 J/m3. The editors and the publisher are committed to provide this fast-growing community with a dedicated high quality channel to distribute their original findings. Papers suitable for publication in this journal cover topics in both the warm and hot dense matter regimes, such as laboratory studies relevant to non-LTE kinetics at extreme conditions, planetary interiors, astrophysical phenomena, inertial fusion and includes studies of, for example, material properties and both stable and unstable hydrodynamics. Developments in associated theoretical areas, for example the modelling of strongly coupled, partially degenerate and relativistic plasmas, are also covered.