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Dergiler / Communications in Advanced Mathematical Sciences / 2019 / Cilt: 2 - Sayı: 2

Construction of Exact Solutions to Partial Differential Equations with CRE Method

Filiz Taşcan
Arzu AKBULUT
Sayfa
105–113
Yayın Tarihi
2019-06-27
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The outcomes obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear partial differential equations.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, the consistent Riccati expansion (CRE) method is presented for constructing new exact solutions of (1+1) dimensional nonlinear dispersive modified Benjamin Bona Mahony (DMBBM) and mKdV-Burgers equations.
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Temel Bulgular & Veri:The exact solutions obtained are composed of hyperbolic and exponential functions.
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Sonuç & Katkı:The outcomes obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear partial differential equations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Partial differential equations · Exact solution · The consistent Riccati expansion

Abstract

In this article, the consistent Riccati expansion (CRE) method is presented for constructing new exact solutions of (1+1) dimensional nonlinear dispersive modified Benjamin Bona Mahony (DMBBM) and mKdV-Burgers equations. The exact solutions obtained are composed of hyperbolic and exponential functions. The outcomes obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear partial differential equations.

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Bu Makaleye Atıf Yap

Taşcan, F., AKBULUT, A. (2019). Construction of Exact Solutions to Partial Differential Equations with CRE Method. Communications in Advanced Mathematical Sciences, Cilt: 2 - Sayı: 2, 105–113. https://ajindex.com/articles/748292

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Kaynakça (14)

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