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Pure Mathematics 2025
色散冲击波的研究
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Abstract:
我们将构建色散冲击波结构。波形由初始参数剖面生成,以高阶CLL方程为例具体给出几种基本波形。
We will construct dispersive shock wave structures. The waveforms are generated from the initial parameter profiles, and several basic waveforms are specifically given as examples for the higher order CLL equations.
[1] | Wang, D.S., Xu, L. and Xuan, Z.X. (2021) The Complete Classification of Solutions to the Riemann Problem of the Defocusing Complex Modified Kdv Equation. Journal of Nonlinear Science, 32, 3. https://doi.org/10.1007/s00332-021-09766-6 |
[2] | Kong, L., Wang, L., Wang, D., Dai, C., Wen, X. and Xu, L. (2019) Evolution of Initial Discontinuity for the Defocusing Complex Modified KDV Equation. Nonlinear Dynamics, 98, 691-702. https://doi.org/10.1007/s11071-019-05222-z |
[3] | Menikoff, R. and Plohr, B.J. (1989) The Riemann Problem for Fluid Flow of Real Materials. Reviews of Modern Physics, 61, 75-130. https://doi.org/10.1103/revmodphys.61.75 |
[4] | El, G.A., Geogjaev, V.V., Gurevich, A.V. and Krylov, A.L. (1995) Decay of an Initial Discontinuity in the Defocusing NLS Hydrodynamics. Physica D: Nonlinear Phenomena, 87, 186-192. https://doi.org/10.1016/0167-2789(95)00147-v |
[5] | Gong, R. and Wang, D. (2022) Whitham Modulation Theory of the Defocusing AB System and Its Application. Applied Mathematics Letters, 126, 107795. https://doi.org/10.1016/j.aml.2021.107795 |
[6] | Zhang, J., Liu, W., Qiu, D., Zhang, Y., Porsezian, K. and He, J. (2015) Rogue Wave Solutions of a Higher-Order Chen-Lee-Liu Equation. Physica Scripta, 90, Article ID: 055207. https://doi.org/10.1088/0031-8949/90/5/055207 |