The physical expression for some of the solutions is presented to shedmore light on the mechanism of the solutions.
📌 3 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data:Some novel complex and real-valued exact solutions for theequations under consideration are presented.
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Conclusion & Impact:The physical expression for some of the solutions is presented to shedmore light on the mechanism of the solutions.
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.
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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