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

Subject Areas : Statistics

Kamyar Hosseini ^{1 *} , Mashallah Matinfar ² , Mohammad Mirzazadeh ³

1 - Department of Mathematics, Faculty of Mathematical Sciences, Mazandaran University, Babolsar, Iran
2 - Department of Mathematics, Faculty of Mathematical Sciences, Mazandaran University, Babolsar, Iran
3 - Department of Engineering Sciences, University of Guilan, East of Guilan, Vajargah, Iran

Received: 2020-02-04 Accepted : 2021-05-12 Published : 2021-11-22

Keywords: روش های تابع نمایی و ضمنی ژاکوبی, معادله کوندو-موکرجی-ناسکار دوبعدی, تبدیل موج حرکتی, سولیتون های نوری و جواب های دیگر,

Abstract :

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.

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