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将多元复分析中一种复偏微分方程组的解与复Clifford分析中双曲调和函数联系起来,并研究了双曲调和函数的几个性质。 相似文献
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Under the constrained condition induced by the eigenfunctions and the potentials, the Laxsystems of nonlinear evolution equations in relation to a matris eigenvalue problem are nonlin-earized to be a completely integrable system (R~(zN),dp∧dq, H), while the time part of it isnonlinearized to be its N-involutive system {F_m}. The involutive solution of the compatiblesystem (F_0), (F_m) is transformed into the solution of the m-th nonlinear evolution equation. 相似文献
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借助于多元复分析的思想,本文用两种方法证明了Clifford分析中奇异积分的反转公式. 相似文献
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本文讨论高阶MDWW方程的Lax对,在位势与特征函数之间的约束条件下,Lax系统被非线性化成为有限维Liouville完全可积系统.并且获得了高阶MDWW方程解的对合表示. 相似文献
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Under an algebraic constraint between the potentials and the eigeufunctions, the Jaulent-Miodek eigenvalue problem is nonlinearized to be a completely integrable C. Neumann system (M~(2N-2), dp∧dq|M~(2N-3), H) in Liouville sense with the Hamiltonian function 相似文献
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