排序方式: 共有47条查询结果,搜索用时 15 毫秒
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1 ATrialFunctionandaRoutinetoFindAnalyticalSolutionofTwoTypesofNonlinearPDE Wetreatthenonlinearevolutionequation ,whichisformedbyaddinghighorderderivativetermsandnonlineartermstotheBurgersequation u t u u x … up u xq α1 u x … αn nu xn =0 ,( 1)whichp ,q ,nandαi(i =1,2… 相似文献
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By using the Jacobi elliptic-function method,this paper obtains the periodic solutions for coupled integrable dispersionless equations. The periodic solutions include some kink and anti-kink solitons. 相似文献
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非线性演化方程的显式行波解 总被引:10,自引:0,他引:10
本文系统归纳了重要的非线性演化方程的各类显式行波解.说明常微分方程中的同宿轨道和异宿轨道分别和非线性演化方程中的孤立波(或称脉冲波)和波前相对应.耗散系统也存在孤立波,二维(x,y)演化方程中的孤立波可以显示出模式(Pattern)结构.三维相空间的鞍点同宿轨道和鞍—焦点同宿轨道(称Silnikov同宿轨道)常和混沌相联系, 相似文献
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Using the ergodic theory of chaos and strange attractors, we investigated the truncated spectrum model of Burger's-Chao Ji-ping equation. On the parameter plane (Re, Ri) we calculated and analyzed Lyapunov exponents, entropy, dimension and power spectrum. The results indicate the existence of the atmospheric turbulence. Analysing the evolution of states in the dynamical system with parameters, we found that the occurrence of the atmospheric turbulence passes through the road of limite cycle→torus→chaos in daytime, but through the road of periodic bifurcation at night and the universal constant is Feigenbaum constant. 相似文献
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