Solution of Davey-Stewartson equations by homotopy perturbation method

The first integral method and traveling wave solutions to Davey–Stewartson equation

“…The present paper investigates, for the first time, the applicability and effectiveness of the first integral method on the Davey-Stewartson equations. We consider the Davey-Stewartson (DS) equations [6,7]:…”

The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions

“…In [23], solution of DS equations by (HPM) where the amplitude of a surface wave packet separated into real and imaginary parts, that is, = ( , , ) + V( , , ). Consequently, the system (1) rewritten in the following form:…”

“…Furthermore, we will show that considerably better approximations related to the accuracy level would be obtained. The homotopy perturbation method can be found in [1][2][3][4][5][6][7][8][9][10][11]23]. The homotopy analysis method can be found in details in [12][13][14][15][16][17][18][19][20][21][22][24][25][26] and only the main steps will be summarized here.…”

New exact traveling wave solutions for DS-I and DS-II equations

“…In this paper, we consider the Davey-Stewartson (DS) equations [1][2][3] iq t + 1 2 δ 2 q xx + δ 2 q yy + λ|q| 2 q − φ x q = 0,…”