الگوريتم محاسبات جواب هاي ساليتوني معادله غير خطي تعميم يافته RKL

Calculating algorithm of the Soliton Solutions of the Generalized Nonlinear RKL Equation

اﺳﺎس و ﭘﺎﯾﻪ ﺑﺴﯿﺎري از ﭘﺪﯾﺪه ﻫﺎ در ﻋﻠﻮم ﻣﺨﺘﻠﻒ ﺑﻪ ﻃﻮر ذاﺗﯽ ﻏﯿﺮ ﺧﻄﯽ ﻫﺴﺘﻨﺪ ﮐﻪ ﺗﻮﺳﻂ ﻣﻌﺎدﻻت دﯾﻔﺮاﻧﺴﯿﻞ ﺟﺰﺋﯽ و ﻣﻌﻤﻮﻟﯽ ﺷﮑﻞ ﭘﯿﺪا ﻣﯽ ﮐﻨﻨﺪ. ﺑﻪ ﺟﺰء ﺗﻌﺪاد ﻣﺤﺪودي از اﯾﻦ ﻣﻌﺎدﻻت ﮐﻪ داري ﺣﻞ ﺗﺤﻠﯿﻠﯽ دﻗﯿﻖ ﻫﺴﺘﻨﺪ، ﺑﯿﺸﺘﺮ اﯾﻦ ﻣﺴﺎﺋﻞ ﺣﻞ دﻗﯿﻖ ﻧﺪارﻧﺪ؛ ﮐﻪ ﺑﺎﯾﺪ ﺑﻪ وﺳﯿﻠﻪ ﺷﯿﻮهﻫﺎي ﺟﺪﯾﺪي ﻣﺒﺘﻨﯽ ﺑﺮ ﮐﺪ ﻧﻮﯾﺴﯽ ﻫﺎﯾﯽ ﺑﺮ ﭘﺎﯾﻪ ﻧﺮم اﻓﺰارﻫﺎﯾﯽ ﻫﻤﭽﻮن ﻣﯿﭙﻞ و ﻣﺘﻠﺐ ﺣﻞ ﺷﻮﻧﺪ. در اﯾﻦ ﻧﻮﺷﺘﺎر ﺑﺮاﻧﯿﻢ ﺗﺎ ﺑﺎ اﺳﺘﻔﺎده از ﯾﮏ ﺗﻌﻤﯿﻢ ﺟﺪﯾﺪ ﺑﺮاي ﺷﮑﻞ ﺟﻮاب ﻫﺎ در روش ﺗﺒﺪﯾﻞ ﺑﮑﻼﻧﺪ، ﺑﺎ اﺳﺘﻔﺎده از ﻧﺮم اﻓﺰار ﻣﯿﭙﻞ ﺟﻮاب ﻫﺎي ﺳﺎﻟﯿﺘﻮﻧﯽ ﺟﺪﯾﺪي ﺑﺮاي ﻣﻌﺎدﻟﻪ ﻏﯿﺮﺧﻄﯽ ﺗﻌﻤﯿﻢ ﯾﺎﻓﺘﻪ رادﻫﺎﮐﺮﯾﺸﻨﺎن-ﮐﺎﻧﺪو-ﻻﮐﺸﻤﯿﻨﻦ را ﺑﯿﺎن ﻣﯽ ﮐﻨﯿﻢ.

The basis of many phenomena in the various sciences are inherently nonlinear, formed by partial and ordinary differential equations. With the exception of a limited number of these equations that have precise analytical solutions, most of these problems do not have precise solutions, which must be solved by new coding-based methods based on software such as Mipple and MATLAB. In this paper, using a new generalization to shape the answers in the Bacland conversion method, we use Mipple software to express new salutary answers to the generalized nonlinear equation of Radacricians-Cando-Lakshminen.