A method for solving nonlinear differential equations: an application to $\lambda\phi^4$ model
Mathematical Physics
2015-01-28 v2 math.MP
Exactly Solvable and Integrable Systems
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 one-dimensional reduction. This method is applied to the model in 4 dimensions and new solutions are obtained.
Keywords
Cite
@article{arxiv.1404.0053,
title = {A method for solving nonlinear differential equations: an application to $\lambda\phi^4$ model},
author = {Danilo V. Ruy},
journal= {arXiv preprint arXiv:1404.0053},
year = {2015}
}
Comments
accepted in "Discontinuity, Nonlinearity, and Complexity"