Lie symmetry analysis and soliton solutions of time-fractional K (m, n) equation

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• 作者：G W WANG ; M S HASHEMI
• 关键词：Lie symmetries ; time ; fractional K(m ; n) equation ; Erdélyi–Kober fractional derivative ; Riemann–Liouville derivatives ; soliton solutions.
• 刊名：Pramana
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：88
• 期：1
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astronomy, Observations and Techniques; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：88

文摘

In this note, method of Lie symmetries is applied to investigate symmetry properties of time-fractional K(m, n) equation with the Riemann–Liouville derivatives. Reduction of time-fractional K(m, n) equation is done by virtue of the Erdélyi–Kober fractional derivative which depends on a parameter α. Then soliton solutions are extracted by means of a transformation.