Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Abstract

The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions of the suggested model. The Painlevé-test (P-test) is applied on the proposed DNA model to test the integrability. Few extracted results are graphically examined for studying the dynamical behavior.

Keywords

• soliton solutions
• fractional peyrard-bishop dna model
• β and m-fractional derivatives
• jacobi elliptic function
• the tanh-coth expansion method
• painlevé-test
• 35c08
• 68q07
• 26a33
• 34a08
• 35r11