A method for solving nonlinear differential equations: an application to λϕ⁴ model

2014/03/31 by Danilo V. Ruy, Ruy, Danilo V.
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1404.0053

accepted in "Discontinuity, Nonlinearity, and Complexity"

openalex publication_date 2014/03/31 · arxiv created 2015/01/27 · arxiv updated 2015/01/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

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 Padé approximants for solving nonlinear partial differential equations without requiring a one-dimensional reduction. This method is applied to the λϕ⁴ model in 4 dimensions and new solutions are obtained.

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