The solution of Cahn-Allen equation based on Bernoulli sub-equation method

Muhammed I. Syam

doi:10.1016/j.rinp.2019.102413

The solution of Cahn-Allen equation based on Bernoulli sub-equation method

Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families. We end this paper by some comments and closing remarks.

Original language	English
Article number	102413
Journal	Results in Physics
Volume	14
DOIs	https://doi.org/10.1016/j.rinp.2019.102413
Publication status	Published - Sept 2019

Keywords

65L05
76A05
76W05
76Z99
BSEM
CAE
Rational solution

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.rinp.2019.102413

Cite this

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title = "The solution of Cahn-Allen equation based on Bernoulli sub-equation method",

abstract = "In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families. We end this paper by some comments and closing remarks.",

keywords = "65L05, 76A05, 76W05, 76Z99, BSEM, CAE, Rational solution",

author = "Syam, {Muhammed I.}",

note = "Publisher Copyright: {\textcopyright} 2019 The Author",

year = "2019",

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doi = "10.1016/j.rinp.2019.102413",

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volume = "14",

journal = "Results in Physics",

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AB - In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families. We end this paper by some comments and closing remarks.

KW - 65L05

KW - 76A05

KW - 76W05

KW - 76Z99

KW - BSEM

KW - CAE

KW - Rational solution

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DO - 10.1016/j.rinp.2019.102413

M3 - Article

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SN - 2211-3797

VL - 14

JO - Results in Physics

JF - Results in Physics

M1 - 102413

ER -

The solution of Cahn-Allen equation based on Bernoulli sub-equation method

Abstract

Keywords

ASJC Scopus subject areas

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