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描述
孤子与非线性波动方程（亦作MATH 4P09开设） 线性与非线性行波。非线性演化方程（Korteweg–de Vries、非线性薛定谔、sine–Gordon）。孤子解及其相互作用特性。拉克对、逆散射、零曲率方程与Bäcklund变换、哈密顿结构与守恒律。讲座，每周3小时；实验/辅导，每周1小时。先决条件：MATH 3P08、3P09、3P51或3P52之一。注：本课程可能以多种授课方式提供。授课方式将在学期课程表中列明。
先修课程
- 先决条件：MATH 3P08、3P09、3P51或3P52之一。
条件与方式
- 先决条件：MATH 3P08、3P09、3P51或3P52之一。
- 注：本课程可能以多种授课方式开设。授课方式将在适用学期的学术课程表中列出。
原文参考文本
Solitons and Nonlinear Wave Equations (also offered as MATH 4P09 ) Linear and nonlinear travelling waves. Nonlinear evolution equations (Korteweg de Vries, nonlinear Schrodinger, sine-Gordon). Soliton solutions and their interaction properties. Lax pairs, inverse scattering, zero-curvature equations and Backlund transformations, Hamiltonian structures, and conservation laws. Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): one of MATH 3P08 , 3P09 , 3P51 , 3P52 . Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.
- Prerequisite(s): one of MATH 3P08 , 3P09 , 3P51 , 3P52 .
- Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term.
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来源参考 : https://brocku.ca/webcal/2024/undergrad/phys.html