Eckhaus-Kundu方程中孤波的轨道稳定性

IF 1.4 4区物理与天体物理 Q2 MATHEMATICS, APPLIED Journal of Nonlinear Mathematical Physics Pub Date : 2023-10-31 DOI:10.1007/s44198-023-00148-y

Yuli Guo, Weiguo Zhang, Siyu Hong

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引用次数: 0

摘要

摘要本文研究了Eckhaus-Kundu方程中孤立波的轨道稳定性。由于我们所研究的方程难以表示为标准哈密顿系统，所以不能直接应用关于非线性哈密顿系统孤子解的轨道稳定性的Grillakis-Shatah-Strauss理论。通过构造三个新的守恒量，利用特殊的技术和详细的谱分析，克服了上述困难，得出了Eckhaus-Kundu方程的孤波是轨道稳定的结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Orbital Stability of Solitary Wave for Eckhaus–Kundu Equation

Abstract In this paper, the orbital stability of solitary wave for Eckhaus–Kundu equation is studied. Since the equation we studied is difficult to be expressed as a standard Hamiltonian system, the Grillakis–Shatah–Strauss theory about the orbital stability of soliton solutions for nonlinear Hamiltonian systems cannot be directly applied. By constructing three new conserved quantities and using special techniques and detailed spectral analysis, the above difficulty is overcome, then we obtain the conclusion that the solitary wave of Eckhaus–Kundu equation is orbitally stable.

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来源期刊

Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics