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摘要: 把Jacobi椭圆函数展开法扩展到Jacobi椭圆余弦函数和第三类Jacobi椭圆函数的有限展开法,并给出了一类非线性波动方程的新周期解,并且应用这种方法得到的周期解也可以退化为冲击波解或孤波解.
Abstract: InthispapertheJacobiellipticfunctionexpansionmethodisextendedtothefiniteexpansionfortheappliedJacobicosineellipticfunctionorthethirdkindofJacobiellipticfunctiontoconstructthenewperiodicsolutionsofnonlinearwaveequations.Theperiodicsolutionsobtainedbythismethodcanbereducedtothesolitarywavesolutionsunderthelimitcondition.