Deformed soliton, breather and rogue wave solutions of an inhomogeneous nonlinear Hirota equation
作者： Xiaotong Liu , Xuelin Yong , Yehui Huang , Rui Yu , Jianwei Gao
DOI: 10.1016/J.CNSNS.2015.05.016
关键词:
摘要: Abstract In this paper, an inhomogeneous nonlinear Hirota equation with linear coefficient and higher-order dispersion is investigated in detail. describing wave propagation the ocean optical fibers, it can be viewed as approximation which more accurate than Schr o ¨ dinger equation. Firstly, we modified Darboux transformation technique to show how construct solutions of owns a non-isospectral Lax pair. Furthermore, deformed soliton, breather rogue are studied via method, respectively. Finally, properties those media discussed illustrate influences variable coefficients.
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sci-hub.se 参考文章(39)
Anjan Biswas, None, Optical solitons: Quasi-stationarity versus Lie transform Optical and Quantum Electronics. ,vol. 35, pp. 979- 998 ,(2003) , 10.1023/A:1025121931885
Ricardo Carretero-González, Dimitri J. Frantzeskakis, Panayotis G. Kevrekidis, Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment Springer. ,(2008)
Anjan Biswas, Swapan Konar, Introduction to non-Kerr Law Optical Solitons ,(2006)
Pan Wang, Bo Tian, Wen-Jun Liu, Min Li, Kun Sun, Soliton Solutions for a Generalized Inhomogeneous Variable-Coefficient Hirota Equation with Symbolic Computation Studies in Applied Mathematics. ,vol. 125, pp. 213- 222 ,(2010) , 10.1111/J.1467-9590.2010.00486.X
E. Braverman, I.M. Karabash, Structured stability radii and exponential stability tests for Volterra difference systems Computers & Mathematics With Applications. ,vol. 66, pp. 2259- 2280 ,(2013) , 10.1016/J.CAMWA.2013.06.015
M. Lakshmanan, S. Ganesan, Equivalent forms of a generalized Hirota's equation with linear inhomogeneities Journal of the Physical Society of Japan. ,vol. 52, pp. 4031- 4033 ,(1983) , 10.1143/JPSJ.52.4031
Lingjun Zhou, Darboux transformation for the nonisospectral AKNS system Physics Letters A. ,vol. 345, pp. 314- 322 ,(2005) , 10.1016/J.PHYSLETA.2005.07.046
M. Mirzazadeh, M. Eslami, B. Fathi Vajargah, Anjan Biswas, Optical solitons and optical rogons of generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity Optik. ,vol. 125, pp. 4246- 4256 ,(2014) , 10.1016/J.IJLEO.2014.04.014
K. Porsezian, M. Daniel, R. Bharathikannan, Generalized χ-dependent Hirota equation: singularity structure, Bäcklund transformation and soliton solutions Physics Letters A. ,vol. 156, pp. 206- 210 ,(1991) , 10.1016/0375-9601(91)90140-4
Anjan Biswas, Anwar Ja'afar Muhammad Jawad, Wayne N. Manrakhan, Amarendra K. Sarma, Kaisar R. Khan, Optical solitons and complexitons of the Schrödinger–Hirota equation Optics & Laser Technology. ,vol. 44, pp. 2265- 2269 ,(2012) , 10.1016/J.OPTLASTEC.2012.02.028