Discontinuity, Nonlinearity, and Complexity
A Method for Solving Nonlinear Differential Equations: An Application to λφ4 Model
Discontinuity, Nonlinearity, and Complexity 4(2) (2016) 163171  DOI:10.5890/DNC.2016.06.004
Danilo V. Ruy
Instituto de Física TeóricaUNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II São Paulo, 01140070, Brazil
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Abstract
Recently, it has been great interest in the development of methods for solving nonlinear differential equations directly. Here, it is shown an algorithm based on Pad′e approximants for solving nonlinear partial differential equations without requiring a onedimensional reduction. This method is applied to the λφ4 model in 4 dimensions and new solutions are obtained.
Acknowledgments
I am thankful to H. Aratyn, J. F. Gomes and A. H. Zimerman for discussions. The author also thanks FAPESP (2010/181109) for financial support.
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