Approximate analytic compacton solutions of the K(p,p) equation by reduced differential transform method

被引：1

作者：

Ak, Turgut ^{[1
]}

Dhawan, Sharanjeet ^{[2
]}

机构：

[1] Yalova Univ, Armutlu Vocat Sch, TR-77500 Yalova, Turkey

[2] Cent Univ Haryana, Dept Math, Jant 123029, Haryana, India

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2020年 / 8卷 / 04期

关键词：

Reduced differential transform method; K(p; p); equation; compacton; SOLITONS;

D O I：

10.22034/cmde.2019.33123.1534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, we focus on solutions of K(p, p) equation which are solitons with compact support called compactons. Such a study of compact solitary waves will help us understanding solitons at a deeper level. One of the interesting feature, they govern is quasi elastic collision and gaining the same coherent shape again after scattering. Numerical scheme used to study the compacton solutions of K(p, p) equation is based on reduced differential transform method. Both one dimensional differential transform method and two dimensional reduced differential transform method have been used. Test problems under consideration show the efficient working of the proposed scheme.

引用

页码：827 / 839

页数：13

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