The physical expression for some of the solutions is presented to shed more 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.
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Key Findings & Data:The NWS equation exhibits the relation between a continuous nite bandwidth of modes and a post critical Rayleigh-Benard convection by the space-time tardily varying amplitudes while ZEE equation explains the evolution of a grove population.
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Conclusion & Impact:The physical expression for some of the solutions is presented to shed more 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 post critical Rayleigh-Benard convection by the space-time tardily varying amplitudes while ZEE equation explains the evolution of a grove population. Some novel complex and real-valued exact solutions for the equations under consideration are presented. Using a new conservation theorem, we construct conservation laws for the ZEE equation. The physical expression for some of the solutions is presented to shed more light on the mechanism of the solutions.
Yusuf, A., Ghanbari, B., Qureshi, 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/1537750
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