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利用基于2×2矩阵(e)(Dbar)-问题的推广穿衣法,研究了一个耦合无色散方程,进而利用Cauchy矩阵的性质导出其孤立子解.此外,还讨论了N-孤立子解的渐近行为. 相似文献
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The Hirota–Satsuma coupled KdV equations associated 2×2 matrix spectral problem is discussed by the dressing method,which is based on the factorization of integral operator on a line into a product of two Volterra integral operators.A new solution is obtained by choosing special kernel of integral operator. 相似文献
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The surface in R3 associated with the Tzitzeica equation & considered. By curvature coordinate transformation and surface imbedding, the Gauss-Codazzi equation is presented. Resorting to the solutions of the Gauss-Codazzi equation, the solution of the Tzitzeica equation & obtained under a restrictive condition. 相似文献
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Based on the spectral problem associated with the TD hierarchy, a recursion relation for the adjoined spectral problem is obtained, by which the TD hierarchy is transformed into the modified one. As a special example, the first nontrivial member in the modified hierarchy is reduced to an integrable Heisenberg spin equation. 相似文献
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