Singular and non-topological soliton solutions for nonlinear fractional differential equations

• 来源期刊: 中国物理B（英文版）
• 关键词: solitons ansatz method the space-time fractional Boussinesq equation the space-time fractional (2+1)-dimensional breaking soliton equations
• 年，卷（期）: 2015,（10）
• 页码范围: 100201-1-100201-6
• 页数: 1页
• 语种: 英文
• DOI: 10.1088/1674-1056/24/10/100201

摘要

In this article, the fractional derivatives are described in the modified Riemann–Liouville sense. We propose a new approach, namely an ansatz method, for solving fractional differential equations (FDEs) based on a fractional complex transform and apply it to solve nonlinear space–time fractional equations. As a result, the non-topological as well as the singular soliton solutions are obtained. This method can be suitable and more powerful for solving other kinds of nonlinear fractional FDEs arising in mathematical physics.