A Method for Solving Nonlinear Differential Equations: An Application to λφ4 Model

DOI10.5890/DNC.2015.06.004zbMATH Open1320.70022arXiv1404.0053MaRDI QIDQ2943286

Danilo V. Ruy

Publication date: 11 September 2015

Published in: The interdisciplinary journal of Discontinuity, Complexity, and Nonlinearity (Search for Journal in Brave)

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 $lambdaph{i}^4$ model in 4 dimensions and new solutions are obtained.

Full work available at URL: https://arxiv.org/abs/1404.0053

zbMATH Keywords

Padé approximantsintegrable equations in physicsintegrable field theory\(\lambda\varphi^4\) model

Mathematics Subject Classification ID

More general nonquantum field theories in mechanics of particles and systems (70S20)

Related Items (2)

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