The Theories of Riemann Surfaces and Elliptic Functions with Application to the sine-Gordon Equation
碩士 === 國立交通大學 === 應用數學系所 === 101 === The Goal of this paper is to solve the sine-Gordon equation, u_tt - u_xx + sin[u(x,t)] = 0, where -∞ < x < ∞ and t > 0. By using the method of substitution, we get u_ss + sin[u(s)] = 0, which is a simple pendulum motion at time s with the angular displa...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2013
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| Online Access: | http://ndltd.ncl.edu.tw/handle/13014433361767114790 |