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Heidari, Samira, Eslami, Mostafa, Yousefian, Rohollah, Samei, Mohammad Esmael. (1404). Investigate new soliton type solutions to a nonlinear partial Schrödinger differential equations with the new auxiliary equation approach and its modification. فیزیولوژی و بیوتکنولوژی آبزیان, 5(1), 139-150. doi: 10.22124/cse.2025.31755.1122
Samira Heidari; Mostafa Eslami; Rohollah Yousefian; Mohammad Esmael Samei. "Investigate new soliton type solutions to a nonlinear partial Schrödinger differential equations with the new auxiliary equation approach and its modification". فیزیولوژی و بیوتکنولوژی آبزیان, 5, 1, 1404, 139-150. doi: 10.22124/cse.2025.31755.1122
Heidari, Samira, Eslami, Mostafa, Yousefian, Rohollah, Samei, Mohammad Esmael. (1404). 'Investigate new soliton type solutions to a nonlinear partial Schrödinger differential equations with the new auxiliary equation approach and its modification', فیزیولوژی و بیوتکنولوژی آبزیان, 5(1), pp. 139-150. doi: 10.22124/cse.2025.31755.1122
Heidari, Samira, Eslami, Mostafa, Yousefian, Rohollah, Samei, Mohammad Esmael. Investigate new soliton type solutions to a nonlinear partial Schrödinger differential equations with the new auxiliary equation approach and its modification. فیزیولوژی و بیوتکنولوژی آبزیان, 1404; 5(1): 139-150. doi: 10.22124/cse.2025.31755.1122

Investigate new soliton type solutions to a nonlinear partial Schrödinger differential equations with the new auxiliary equation approach and its modification

Computational Sciences and Engineering
مقاله 8، دوره 5، شماره 1، تیر 2025، صفحه 139-150    اصل مقاله (1.23 M)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22124/cse.2025.31755.1122
نویسندگان
Samira Heidari1؛ Mostafa Eslami* 1؛ Rohollah Yousefian2؛ Mohammad Esmael Samei3
1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2Department of Mathematics, NO.c. Islamic Azad University, Noor, Iran
3Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
چکیده
The central and fundamental subject of present research is to investigate the effective method of the new auxiliary equation approach for generalized Schrödinger'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: 178
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