Geodesic
Solution of Davey–Stewartson equations by homotopy perturbation method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 8, pp. 1451-1457

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In this paper, we extend the homotopy perturbation method to solve the Davey–Stewartson equations. The homotopy perturbation method is employed to compute an approximation to the solution of the equations. Computation the absolute errors between the exact solutions of the Davey–Stewartson equations and the HPM solutions are presented. Some plots are given to show the simplicity the method. 
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     author = {H. A. Zedan and S. Sh. Tantawy},
     title = {Solution of {Davey{\textendash}Stewartson} equations by homotopy perturbation method},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1451--1457},
     publisher = {mathdoc},
     volume = {49},
     number = {8},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_8_a7/}
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H. A. Zedan; S. Sh. Tantawy. Solution of Davey–Stewartson equations by homotopy perturbation method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 8, pp. 1451-1457. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_8_a7/