سوليتون هاي نوري و جواب هاي ديگر معادله كوندو-موكرجي-ناسكار دوبعدي

Optical solitons and other solutions of the (2+1)-dimensional Kundu-Mukherjee-Naskar equation

ﻣﻌﺎدﻟﻪ ﮐﻮﻧﺪو-ﻣﻮﮐﺮﺟﯽ- ﻧﺎﺳﮑﺎر دوﺑﻌﺪي ﺗﻮﺻﯿﻒ ﮐﻨﻨﺪه اﻧﺘﺸﺎر دﯾﻨﺎﻣﯿﮏ ﺳﻮﻟﯿﺘﻮن در ﺳﯿﺴﺘﻢﻫﺎي ارﺗﺒﺎﻃﯽ ﻓﯿﺒﺮ ﻧﻮري در ﻣﻘﺎﻟﻪ ﺣﺎﺿﺮ ﻣﻄﺎﻟﻌﻪ ﻣﯽﺷﻮد. ﻫﺪف ﻣﻮردﻧﻈﺮ ﺑﺎ ﺑﻪ ﮐﺎرﮔﯿﺮي ﯾﮏ ﺗﺒﺪﯾﻞ ﻣﻮج ﺣﺮﮐﺘﯽ ﺑﺮاي ﮐﺎﻫﺶ ﻣﻌﺎدﻟﻪ ﮐﻮﻧﺪو-ﻣﻮﮐﺮﺟﯽ-ﻧﺎﺳﮑﺎر دوﺑﻌﺪي ﺑﻪ ﯾﮏ داﻣﻨﻪ ﯾﮏ- ﺑﻌﺪي و ﺣﻞ ﻣﻌﺎدﻟﻪ دﯾﻔﺮاﻧﺴﯿﻞ ﻣﻌﻤﻮﻟﯽ ﻏﯿﺮﺧﻄﯽ ﺣﺎﺻﻠﻪ ﺑﺎ اﺳﺘﻔﺎده از روشﻫﺎي ﺗﺎﺑﻊ ﻧﻤﺎﯾﯽ و ﺿﻤﻨﯽ ژاﮐﻮﺑﯽ اﺟﺮاﯾﯽ ﻣﯽﮔﺮدد. ﺑﻪﻋﻨﻮان ﯾﮏ ﻣﻮﻓﻘﯿﺖ، ﺳﻮﻟﯿﺘﻮنﻫﺎي ﻧﻮري و ﺟﻮابﻫﺎي دﯾﮕﺮ ﻣﻌﺎدﻟﻪ ﮐﻮﻧﺪو-ﻣﻮﮐﺮﺟﯽ- ﻧﺎﺳﮑﺎر دوﺑﻌﺪي ﺑﺎ ﺗﺎﯾﯿﺪ ﻋﻤﻠﮑﺮد ﻓﻮق اﻟﻌﺎده روشﻫﺎي ﺑﻪ ﮐﺎرﮔﯿﺮي ﺷﺪه رﺳﻤﺎ اﺳﺘﺨﺮاج ﻣﯽﺷﻮﻧﺪ.

The (2+1)-dimensional Kundu-Mukherjee-Naskar (2D-KMN) equation that addresses the propogation of soliton dynamics in optical fiber communication systems is investigated in the present paper. The intended purpose is accomplished by applying a traveling wave hypothesis for reducing the 2D-KMN equation in a 1-dimensional domain and solving the resulting ODE using the exp‎_a and Jacobi elliptic function methods. As an accomplishment, optical solitons and other solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar equation are extracted, confirming the outstanding performance of the methods.The (2+1)-dimensional Kundu-Mukherjee-Naskar (2D-KMN) equation that addresses the propogation of soliton dynamics in optical fiber communication systems is investigated in the present paper. The intended purpose is accomplished by applying a traveling wave hypothesis for reducing the 2D-KMN equation in a 1-dimensional domain and solving the resulting ODE using the exp‎_a and Jacobi elliptic function methods. As an accomplishment, optical solitons and other solutions of the (2+1)-dimensional Kundu–Mukherjee–Naskar equation are extracted, confirming the outstanding performance of the methods.