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This paper gives the spectral representation of a class of (2 1)-dimensional mod- ified Kadomtsev-Petviashvili(m-KP) equation with a constant parameter.Its quasi-periodic solution is obtained in terms of Riemann theta functions. 相似文献
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利用Hirota方法及Riemann theta函数得到了一个(3+1)维孤子方程的周期解.在极限情况下,该周期解退化为孤子解.另外,利用计算机技术和Mathematica绘制了解的三维曲面图. 相似文献
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Algebro-Geometric Solution to Two New (2+1)-Dimensional Modified Kadomtsev-Petviashvili Equations 下载免费PDF全文
Two new (2+1)-dimensional modified Kadomtsev-Petviashvili (mKP) equations are presented, which are related to a hierarchy of (1+1)-dimensional soliton equations. Through the nonlinearization of Lax pair and the Riemann-Jacobi inversion technique, the algebro-geometric solutions of both the mKP equations are obtained. 相似文献
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Bilinear Backlund transformation and explicit solutions for a nonlinear evolution equation 下载免费PDF全文
The bilinear form of two nonlinear evolution equations are derived by using Hirota derivative. The Backlund transformation based on the Hirota bilinear method for these two equations are presented, respectively. As an application, the explicit solutions including soliton and stationary rational solutions for these two equations are obtained. 相似文献
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利用Hirota方法及Riemann theta函数得到了(2+1)维Boussinesq方程的新的周期解.在极限情况下,该周期解退化为孤子解.
关键词:
Hirota方法
Riemann theta 函数
(2+1)维Boussinesq方程
周期解 相似文献
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One- and two-periodic wave solutions for (3+l)-dimensional Boussinesq equation are presented by means of Hirota's bilinear method and the Riemann theta function. The soliton solution can be obtained from the periodic wave solution in an appropriate limiting procedure. 相似文献
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Bilinear Bcklund transformation and explicit solutions for a nonlinear evolution equation 下载免费PDF全文
The bilinear form of two nonlinear evolution equations are
derived by using Hirota derivative. The B\"{a}cklund transformation
based on the Hirota bilinear method for these two equations are
presented, respectively. As an application, the explicit solutions
including soliton and stationary rational solutions for these two
equations are obtained. 相似文献
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