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Variational principle for the Kaup-Newell system | ||
| Journal of Computational Applied Mechanics | ||
| دوره 54، شماره 3، آذر 2023، صفحه 405-409 اصل مقاله (189.06 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2023.365116.875 | ||
| نویسندگان | ||
| Yue Wu1؛ JI-Huan He* 2، 3 | ||
| 1College of Economics and Management, Shanghai University of Political Science and Law, Qingpu Area, Shanghai, China. | ||
| 2School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China. | ||
| 3National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, Suzhou, China. | ||
| چکیده | ||
| The Kaup-Newell system describes the pulse propagation in optical fibers. This paper applies the semi-inverse method to construct the system’s variational formulations, two trial-variational formulations with an unknown function are established, and a detailed derivation is given to determine the unknown function. Finally, the Kaup-Newell system with two variables is converted to a partial differential equation with only one variable. | ||
| کلیدواژه‌ها | ||
| Variational theory؛ Calculus of variations؛ Lagrange multiplier؛ Schrö dinger equation؛ potential function | ||
| مراجع | ||
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