Exact Solutions to Time-Fractional Fifth Order KdV Equation by Trial Equation Method Based on Symmetry

被引：20

作者：

Liu, Tao ^{[1
]}

机构：

[1] China Univ Petr, Coll Informat Sci & Engn, Beijing 102249, Peoples R China

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 06期

关键词：

trial equation method; symmetry; traveling wave solutions; conformal fractional derivative; TRAVELING-WAVE SOLUTIONS; PERIODIC-SOLUTIONS; SOLITONS; COUNTEREXAMPLES; CLASSIFICATIONS; SYSTEM;

D O I：

10.3390/sym11060742

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study a fifth order time-fractional KdV equation (FKdV) under meaning of the conformal fractional derivative. By trial equation method based on symmetry, we construct the abundant exact traveling wave solutions to the FKdV equation. These solutions show rich evolution patterns including solitons, rational singular solutions, periodic and double periodic solutions and so forth. In particular, under the concrete parameters, we give the representations of all these solutions.

引用

页数：8

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