Travelling wave solutions of (2+1)-dimensional generalised time-fractional Hirota equation

被引:0
作者
Zhang, Youwei [1 ]
机构
[1] Hexi Univ, Sch Math & Stat, Beihuan Rd 846, Zhangye 734000, Peoples R China
来源
PRAMANA-JOURNAL OF PHYSICS | 2018年 / 90卷 / 03期
关键词
Time-fractional Hirota equation; fractional complex transform; complete discrimination system; tanh-expansion; travelling wave; COUPLED-KDV EQUATION; 1ST INTEGRAL METHOD; NONLINEAR SCHRODINGERS EQUATION; COMPLETE DISCRIMINATION SYSTEM; PARTIAL-DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; SOLITON-SOLUTIONS; POWER-LAW; LONG-WAVE; DERIVATIVES;
D O I
10.1007/s12043-018-1522-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, we have developed new exact analytical solutions of a nonlinear evolution equation that appear in mathematical physics, a (2 + 1)-dimensional generalised time-fractional Hirota equation, which describes the wave propagation in an erbium-doped nonlinear fibre with higher-order dispersion. By virtue of the tanh-expansion and complete discrimination system by means of fractional complex transform, travelling wave solutions are derived. Wave interaction for the wave propagation strength and angle of field quantity under the long wave limit are analysed: Bell-shape solitons are found and it is found that the complex transform coefficient in the system affects the direction of the wave propagation, patterns of the soliton interaction, distance and direction.
引用
收藏
页数:12
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