逆谱变换法与特征线法的结合:变形Pohlmeyer方程
Combination of inverse spectral transform method and method of characteristics: deformed Pohlmeyer equation
摘要:
本文将Dressing方法应用于一个四维非线性偏微分方程组,该方程组既包含Pohlmeyer方程(即非线性偏微分方程可由逆谱变换方法积分),又包含非线性矩阵偏微分方程可由特征线方法积分。还提出了其他一些削减建议。
英文摘要:
We apply a version of the dressing method to a system of four dimensional nonlinear Partial Differential Equations (PDEs), which contains both Pohlmeyer equation (i.e. nonlinear PDE integrable by the Inverse Spectral Transform Method) and nonlinear matrix PDE integrable by the method of characteristics as particular reductions. Some other reductions are suggested.
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