We study the null boundary problems of some classical evolution equations constrained by some special forms of Lax pairs. Furthermore, we present the constraint and nonlinearization of some supersymmetric (SUSY) equations with a special form of Lax pairs and solve the null boundary problems of these SUSY equations under the corresponding constraints.

中文翻译：

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具有某些特殊形式的Lax对的超对称方程的约束和非线性化

我们研究了受某些特殊形式的Lax对约束的一些经典演化方程的零边界问题。此外，我们给出了具有特殊形式的Lax对的某些超对称（SUSY）方程的约束和非线性化，并在相应的约束下解决了这些SUSY方程的零边界问题。