Solitary Wave Solution of the Two-Dimensional Regularized Long-Wave and Davey-Stewartson Equations in Fluids and Plasmas

• 作者: Omar H. El-Kalaawy Rafat S. Ibrahim
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Exact SOLITARY Solutions Extended Mapping Method Two Dimension REGULARIZED Long Wave and Da Vey-Stewartson Equations JACOBI Elliptic Functions
• 年，卷（期）: 2012,（8）
• 页码范围: 833-843
• 页数: 11页
• 分类号: O1

摘要

This paper investigates the solitary wave solutions of the (2+1)-dimensional regularized long-wave (2DRLG) equation which is arising in the investigation of the Rossby waves in rotating flows and the drift waves in plasmas and (2+1) dimensional Davey-Stewartson (DS) equation which is governing the dynamics of weakly nonlinear modulation of a lattice wave packet in a multidimensional lattice. By using extended mapping method technique, we have shown that the 2DRLG-2DDS equations can be reduced to the elliptic-like equation. Then, the extended mapping method is used to obtain a series of solutions including the single and the combined non degenerative Jacobi elliptic function solutions and their degenerative solutions to the above mentioned class of nonlinear partial differential equations (NLPDEs).