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Eslami, Mostafa, Heidari, Samira, Samei, Mohammad Esmael, Yousefian, Rohollah. (1404). To investigate new soliton type solutions to a nonlinear partial Schrodinger differential equation with the new auxiliary equation approach and its modification. فیزیولوژی و بیوتکنولوژی آبزیان, (), -. doi: 10.22124/cse.2025.31755.1122
Mostafa Eslami; Samira Heidari; Mohammad Esmael Samei; Rohollah Yousefian. "To investigate new soliton type solutions to a nonlinear partial Schrodinger differential equation with the new auxiliary equation approach and its modification". فیزیولوژی و بیوتکنولوژی آبزیان, , , 1404, -. doi: 10.22124/cse.2025.31755.1122
Eslami, Mostafa, Heidari, Samira, Samei, Mohammad Esmael, Yousefian, Rohollah. (1404). 'To investigate new soliton type solutions to a nonlinear partial Schrodinger differential equation with the new auxiliary equation approach and its modification', فیزیولوژی و بیوتکنولوژی آبزیان, (), pp. -. doi: 10.22124/cse.2025.31755.1122
Eslami, Mostafa, Heidari, Samira, Samei, Mohammad Esmael, Yousefian, Rohollah. To investigate new soliton type solutions to a nonlinear partial Schrodinger differential equation with the new auxiliary equation approach and its modification. فیزیولوژی و بیوتکنولوژی آبزیان, 1404; (): -. doi: 10.22124/cse.2025.31755.1122

To investigate new soliton type solutions to a nonlinear partial Schrodinger differential equation with the new auxiliary equation approach and its modification

Computational Sciences and Engineering
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 01 آبان 1404
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22124/cse.2025.31755.1122
نویسندگان
Mostafa Eslami* 1؛ Samira Heidari1؛ Mohammad Esmael Samei2؛ Rohollah Yousefian3
1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
3Department of Mathematics, NO.c. Islamic Azad University, Noor, Iran
چکیده
The central and fundamental subject of present research is to investigate the effective method of the new auxiliary equation approach for generalized Schr\"{o}dinger's equation. Finding solutions to this equation has always been of great importance due to its applications in quantum mechanics and light propagation in nonlinear optical fibers. The results show that the proposed approaches are quite effective and efficient in obtaining exact solutions for nonlinear partial differential equations. Due to the complexity of these equations' calculations, Wolfram Mathematica software has been used to validate the results of the proposed techniques.
کلیدواژه‌ها
Solitary wave solutions؛ Nonlinear schr\" {o}dinger equation؛ Auxiliary equation approach
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تعداد مشاهده مقاله: 8


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