Dergiler / Results in Nonlinear Analysis / 2019 / Cilt: 2 - Sayı: 4

Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations

Sayfa
182–192
Yayın Tarihi
2019-12-25
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The physical expression for some of the solutions is presented to shedmore light on the mechanism of the solutions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The present study provides an investigation of the Newel-Whitehead-Segel (NWS) and Zeldovich equations(ZEE) equation via Lie symmetry analysis and generalize exponential rational function methods.The NWS equation exhibits the relation between a continuous nite bandwidth of modes and a postcritical Rayleigh-Benard convection by the space-time tardily varying amplitudes while ZEE equationexplains the evolution of a grove population.
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Temel Bulgular & Veri:Some novel complex and real-valued exact solutions for theequations under consideration are presented.
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Sonuç & Katkı:The physical expression for some of the solutions is presented to shedmore light on the mechanism of the solutions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Newell-Whitehead-Segel equation · Zeldovich equation · symmetries

Abstract

The present study provides an investigation of the Newel-Whitehead-Segel (NWS) and Zeldovich equations(ZEE) equation via Lie symmetry analysis and generalize exponential rational function methods.The NWS equation exhibits the relation between a continuous nite bandwidth of modes and a postcritical Rayleigh-Benard convection by the space-time tardily varying amplitudes while ZEE equationexplains the evolution of a grove population. Some novel complex and real-valued exact solutions for theequations under consideration are presented. Using a new conservation theorem, we construct conservationlaws for the ZEE equation. The physical expression for some of the solutions is presented to shedmore light on the mechanism of the solutions.

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Bu Makaleye Atıf Yap

YUSUF, A., GHANBARİ, B., QURESHİ, S., INC, M., BALEANU, D. (2019). Symmetry analysis and some new exact solutions of the Newell-Whitehead-Segel and Zeldovich equations. Results in Nonlinear Analysis, Cilt: 2 - Sayı: 4, 182–192. https://ajindex.com/articles/797766

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Kaynakça (15)

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