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给出椭圆方程的一组Riemann 函数解, 结合它的一个Backlund变换, 得到这个椭圆方程的无穷序列Riemann 函数解. 最后利用这个椭圆方程作为辅助方程, 借助于符号计算软件 Mathematica, 得到了修正的Korteweg de Vries-正弦Gordon方程的无穷序列Riemann 函数解.Based on some Riemnan theta function solutions to a elliptical equation, together with its Backlund transformation, infinite sequences Riemann function solutions are derived, then regarding this elliptical equation as an auxiliary equation, with the help of computer software (Mathematica), infinite sequences Riemann function solutions to the modified Korteweg de Vries sine-Gordon equation are obtained.
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Keywords:
- modified Korteweg de Vries-sine-Gordon equation /
- Backlund transformation /
- Riemann function solutions
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中国物理学会期刊
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