Mohamed Tantawy Elsaid Tantawy <br/><br/>
On the application of the unified method to solve some nonlinear evolution equations with emphasis to the DNA dynamics /  
 حول تطبيقات الطريقة الموحدة لإيجاد حلول بعض معادلات التطور مع التركيز على ديناميكا الحمض النووى  
Mohamed Tantawy Elsaid Tantawy ; Supervised H. I. Abdelgawad 
 - Cairo :   Mohamed Tantawy Elsaid Tantawy ,   2014 
 - 126 P. :   charts , facsimiles ;   25cm 
<br/><br/>Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics  
<br/><br/> The dynamics of DNA have been the objective of varieties of works in the literature very recently. Different model equations were suggested,   which are based on two main geometrical structure of chains  A first model equation, where the chains are considered as strands, were  proposed in [1- 3]. A second type of model equations takes into account   of helical- geometry of DNA were also suggested in [4-6]. In these equations the dynamics of DNA are described via transverse,  longitudinal or tensional motions. The solution of this model equation in  the both two types, that is in the double-stranded and double helical  model are of major contribution to better understanding many aspects  related to the dynamics of DNA. In the literature, attention was focused   to find the solitary, soliton or breathes solutions  
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<br/><br/><label>Subjects--Index Terms: </label>DNA Dynamics  Mathematics Nonlinear evolution equations