具有自洽源和Miura变换的第二类非交换KP和mKP方程

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-07-26 DOI:10.1016/j.cnsns.2025.109159

Muhammad Kashif, Chunxia Li

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引用次数: 0

摘要

利用源生成程序，导出了具有自洽源的第二类非交换KP方程（第二类NC mKPESCS）和具有自洽源的第二类非交换修正KP方程（第二类NC mKPESCS）。给出了两类拟行列式解，并通过建立一般导数公式对其进行了直接验证。随后，构造了第二类数控KPESCS和第二类数控mKPESCS的矩阵解并举例说明。此外，在第二类数控mKPESCS和第二类数控mKPESCS之间建立了三浦变换。最后给出了一些有用的拟行列式恒等式。

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The second type noncommutative KP and mKP equations with self-consistent sources and Miura transformation

By employing the source generation procedure, the second type noncommutative KP equation with self-consistent sources (second type NC KPESCS) and the second type noncommutative modified KP equation with self-consistent sources (second type NC mKPESCS) are derived. Two classes of quasideterminant solutions are presented with direct verification by establishing general derivative formulas for each case. Subsequently, matrix solutions are constructed and illustrated for both the second type NC KPESCS and the second type NC mKPESCS. Additionally, the Miura transformation is established between the second type NC KPESCS and the second type NC mKPESCS. Finally, some useful quasideterminant identities are provided.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.