Exact traveling wave solutions and bifurcations of the Biswas–Milovic equation

被引：0
作者：
Wenjing Zhu
Jibin Li
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Kunming University of Science and Technology,Department of Mathematics
来源：
Nonlinear Dynamics | 2016年 / 84卷
关键词：
Solitary wave solution; Kink wave solution; Periodic wave solution; Compacton; Bifurcation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the Biswas–Milovic equation. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the traveling wave system under different parameter conditions. Corresponding to some special level curves, we derive possible exact explicit parametric representations of solutions (including solitary wave solutions, kink and anti-kink wave solutions, periodic wave solutions and compactons) under different parameter conditions.
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页码：1973 / 1987
页数：14
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  • [1] Masemola P(2013)Optical solitons and conservation laws for driven nonlinear Schrödinger’s equation with linear attenuation and detuning Opt. Laser Technol. 45 402-405
  • [2] Kara AH(2011)Stationary solutions for nonlinear dispersive Schrödinger’s equation Nonlinear Dyn. 63 623-626
  • [3] Biswas A(2012)Bright and dark solitons for the resonant nonlinear Schrödinger’s equation with time-dependent coefficients Opt. Laser Technol. 44 2223-2231
  • [4] Biswas A(2011)Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity Phys. Lett. A 375 1275-1280
  • [5] Khalique CM(2014)Optical solitons and optical rogons of generalized resonant dispersive nonlinear Schrödinger’s equation with power law nonlinearity Optik 125 4246-4256
  • [6] Triki H(2010)Bright and dark solitons for the generalized nonlinear Schrödinger’s equation Commun. Nonlinear Sci Numer. Simulat 15 1473-1484
  • [7] Hayat T(2012)1-Soliton solution of the Biswas–Milovic equation with log law nonlinearity Caspian J. Math. Sci. 1 88-93
  • [8] Aldossary OM(2016)Optical solitons with Biswas–Milovic equation for power law and dual-power law nonlinearities Nonlinear Dyn. 83 731-738
  • [9] Biswas A(2011)Stationary solutions for the Biswas–Milovic equation Appl. Math. Comput. 217 7400-7404
  • [10] Zhang Z(2015)On the complex structures of the Biswas–Milovic equation for power, parabolic and dual parabolic law nonlinearities Eur. Phys. J. Plus 130 255-3012
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