高阶CLL方程的一相解研究
A Study of One-Phase Solutions of Higher-Order CLL Equations
摘要: 我们介绍了高阶CLL方程以及一相解，并且描述了高阶CLL方程的一相解。我们将高阶陈–李–刘方程的一相解将通过有限间隙积分法得出。
Abstract: We introduce the higher-order CLL equations as well as one-phase solutions and describe the one-phase solutions of the higher-order CLL equations. The one-phase solution of the higher-order Chen-Lee-Liu equation will be derived by the finite-gap integration method.
文章引用：张彩丽. 高阶CLL方程的一相解研究[J]. 理论数学, 2025, 15(3): 98-103. https://doi.org/10.12677/pm.2025.153080

参考文献

[1] Whitham, G.B. (1965) Non-Linear Dispersive Waves. Proceedings of the Royal Society A. Mathematical, Physical and Engineering Sciences, 283, 238-261. [Google Scholar] [CrossRef] 
[2] Flaschka, H., Forest, M.G. and Mclaughlin, D.W. (1980) Multiphase Averaging and the Inverse Spectral Solution of the Korteweg-Del Vries Equation. Communications on Pure Applied Mathematics, 33, 739-784. [Google Scholar] [CrossRef] 
[3] Wang, D.S., Xu, L. and Xuan, Z.X. (2022) The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified KdV Equation. Journal of Nonlinear Science, 32, Article Number 3. [Google Scholar] [CrossRef] 
[4] Kong, L.Q., Wang, L., Wang, D.S., Dai, C.Q., Wen, X.Y. and Xu, L. (2019) Evolution of Initial Discontinuity for the Defocusing Complex Modified KdV Equation. Nonlinear Dynamics, 98, 691-702. [Google Scholar] [CrossRef] 
[5] Menikoff, R. and Plohr, B.J. (1989) The Riemann Problem for Fluid Flow of Real Materials. Reviews of Modern Physics, 61, 75-130. [Google Scholar] [CrossRef] 

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