幂律非线性广义(3+1)-D Camassa-Holm-Kadomtsev-Petviashvili方程的精确显式解和守恒律

Q1 Mathematics

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-28 DOI:10.1016/j.padiff.2025.101257

Thokozani Blessing Shiba, Khadijo Rashid Adem

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引用次数: 0

摘要

本文研究了(3+1)-D中具有幂律非线性的Camassa-Holm-Kadomtsev-Petviashvili方程。突出显示的方程出现在数学物理中，特别是在非线性光学、等离子体、可积系统和孤子理论等领域的研究中。利用李氏对称分析对底层方程进行积分。为了得到更精确的答案，采用了ansatz方法。然后得到行波解。乘数法将用于获得基本方程的守恒定律。

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On the exact explicit solutions and conservation laws of the generalized (3+1)-D Camassa–Holm–Kadomtsev–Petviashvili equation with power law nonlinearity

This study examines the Camassa–Holm–Kadomtsev–Petviashvili equation with power law nonlinearity in (3+1)-D. The highlighted equation appears in mathematical physics, particularly in the study of nonlinear optics, plasma, integrable systems, and soliton theory, among other areas. The integration of the underlying equation is done using Lie symmetry analysis. To get more precise answers, the ansatz approach is applied. Traveling wave solutions are then obtained. The multiplier approach will be used to obtain conservation laws for the underlying equation.

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