TITLE:
Solitary Wave Solution of the Two-Dimensional Regularized Long-Wave and Davey-Stewartson Equations in Fluids and Plasmas
AUTHORS:
Omar H. El-Kalaawy, Rafat S. Ibrahim
KEYWORDS:
Exact Solitary Solutions; Extended Mapping Method; Two Dimension Regularized Long Wave and Da Vey-Stewartson Equations; Jacobi Elliptic Functions
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.8,
August
1,
2012
ABSTRACT: 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).