Periodic and solitary wave solutions of cubic–quintic nonlinear reaction-diffusion equation with variable convection coefficients

Pramana

SHARMA KUSHAL¹  MISHRA S C³  SINGH RAM MEHAR²  BHARDWAJ S B1 2² 

[1] Department of Mathematics, National Institute of Technology, Delhi 110 040, India$$;Department of Physics, Chaudhary Devi Lal University, Sirsa 125 055, India$$;Department of Physics, Kurukshetra University, Kurukshetra 136 119, India$$

关键词: Variable coefficient reaction-diffusion equation;    solitary wave solution;    cubic–quintic nonlinearity.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Attempts have been made to explore the exact periodic and solitary wave solutions of nonlinear reaction diffusion (RD) equation involving cubic–quintic nonlinearity along with timedependent convection coefficients. Effect of varying model coefficients on the physical parameters of solitary wave solutions is demonstrated. Depending upon the parametric condition, the periodic,double-kink, bell and antikink-type solutions for cubic–quintic nonlinear reaction-diffusion equation are extracted. Such solutions can be used to explain various biological and physical phenomena.

【 授权许可】

Unknown