Application of the generalized unified method to solve (2+1)-dimensional Kundu-Mukherjee-Naskar equation

被引：9
作者：
Aydemir, Tugba [1 ]
机构：
[1] Yalova Univ, Fac Econ & Adm Sci, Yalova, Turkiye
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2023年 / 55卷 / 06期
关键词：
Kundu-Mukherjee-Naskar equation; The generalized unified method; The unified method; Exact solution; OPTICAL SOLITON PERTURBATION; NONLINEARITY; MODEL;
D O I：
10.1007/s11082-023-04807-8
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The purpose of this study is to introduce a new extension method named the generalized unified method (GUM) and apply this method to the the (2+1) dimensional Kundu-Mukherjee-Naskar (KMN) equation. The GUM as a powerful method provides more general exact solutions for nonlinear partial differential equations (NPDEs) in a compact form with free parameters. Various exact solutions including also hyperbolic, trigonometric and rational forms can be derived from the obtained exact solutions with tuning these free parameters. The reason of choosing the KMN equation is that this equation as extension of the Schrodinger equation is used to model great numbers of considerable physical phenomena such as ion-acoustic waves in oceanic rogue waves, magnetized plasmas, bending of light beams, propagation pulses in optical fiber. Considering the physical importance of the KMN equation, the obtained wide range solution sets by using the GUM will play a significant role in the applied sciences that use the KMN equation to model their problems.
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页数：17
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