Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation

Goyal A.; Alka; Raju T.S.; Kumar C.N.

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Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation

机译：交流驱动的Ginzburg-Landau方程的洛伦兹型孤子解

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Fractional transform solutions of modified complex Ginzburg-Landau equation phase locked to a time-dependent force have been found. The reported solutions are necessarily of the Lorentzian-type containing trigonometric, hyperbolic and pure cnoidal functions. Numerical simulations indicated that the periodic solutions and soliton solutions are quite stable against finite perturbations.

机译：已经发现锁相到时间相关力的修正复Ginzburg-Landau方程的分数变换解。报告的解决方案必定是包含三角函数，双曲函数和纯正弦函数的洛伦兹型。数值模拟表明，周期解和孤子解对有限摄动是相当稳定的。

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《Applied mathematics and computation》 |2012年第24期|共7页
作者
Goyal A.; Alka; Raju T.S.; Kumar C.N.;
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正文语种 eng
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关键词
Fractional transform; Lorentzian-type solutions; Modified complex Ginzburg-Landau equation;

机译：分数阶变换;Lorentzian型解;修正复Ginzburg-Landau方程;

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专利

1. Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation [J] . Goyal A., Alka, Raju T.S., Applied mathematics and computation . 2012,第24期

机译：交流驱动的Ginzburg-Landau方程的洛伦兹型孤子解
2. On solitary wave solutions of ac-driven complex Ginzburg-Landau equation [J] . Raju TS, Porsezian K Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2006,第8期

机译：交流驱动复Ginzburg-Landau方程的孤波解
3. SinguIarity analysis, balance equations and soliton solution of the nonlocal complex Ginzburg-Landau equation [J] . A. ANKIEWICZ, N. N. AKHMEDIEV, P. WINTERNITZ Journal of Engineering Mathematics . 1999,第1a2期

机译：非局部复Ginzburg-Landau方程的奇异性分析，平衡方程和孤子解
4. Stability of Dissipative Solitons as Solutions of Asymmetrical Complex Cubic-quintic Ginzburg-Landau Equation [C] . V. Skarka, N. B. Aleksi(c), D. Gauthier, Progress in Electromagnetics Research Symposium 2007(2007年电磁学研究新进展学术研讨会）（PIERS 2007)论文集 . 2007

机译：耗散孤子作为非对称复三次五次Ginzburg-Landau方程解的稳定性
5. Dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation: Bifurcations and spatiotemporal structure. [D] . Mancas, Ciprian Stefan. 2007

机译：三次三次复数Ginzburg-Landau方程中的耗散孤子：分叉和时空结构。
6. Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg–Landau Dynamical Equation with Applications and Stability [O] . Chen Yue, Dianchen Lu, Muhammad Arshad, 2020

机译：（3 + 1） - 二维立方 - Quid-Complex Ginzburg-Landau的亮度和多孤子解决方案具有应用和稳定性的动态方程
7. Exploding soliton and front solutions of the complex cubic-quintic Ginzburg-Landau equation [O] . Soto Crespo, J. M., Akhmediev, N. 2013

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Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation

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