Complex and real valued exact solutions to some reaction-diffusion equations are suggested by using homogeneous balance and Sine-Gordon equation expansion method. The predicted solution of finite series of some hyperbolic functions is determined by using some relations between the hyperbolic functions and the trigonometric functions based on Sine-Gordon equation and traveling wave transform. The Newel–Whitehead–Segel (NWSE) and Zeldovich equations (ZE) are solved explicitly. Some complex valued solutions are depicted in real and imaginary components for some particular choice of parameters.
Complex Wave Solutions to Mathematical Biology Models I: Newell–Whitehead–Segel and Zeldovich Equations
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 29, 2018; final manuscript received May 21, 2018; published online June 18, 2018. Assoc. Editor: Dumitru Baleanu.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Korkmaz, A. (June 18, 2018). "Complex Wave Solutions to Mathematical Biology Models I: Newell–Whitehead–Segel and Zeldovich Equations." ASME. J. Comput. Nonlinear Dynam. August 2018; 13(8): 081004. https://doi.org/10.1115/1.4040411
Download citation file:
- Ris (Zotero)
- Reference Manager