Solving the KP hierarchy by gauge transformations
Solving the KP hierarchy by gauge transformations
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DOI：
10.1007/bf02097625
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发表时间：
1992-10
影响因子：
2.4
通讯作者：
L. Chau;Ling-Lie Chau;J. Shaw;H. Yen
中科院分区：
文献类型：
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作者：
L. Chau;Ling-Lie Chau;J. Shaw;H. Yen
我们表明，它是方便的，使用“规范”变换（有时称为显式Bäcklund变换）产生新的解决方案的KP层次。两种特殊类型的规范变换算子，构造出的初始波函数，在这种方法中是至关重要的。通过这样的规范变换，我们得到了一个非常简单的τ函数公式，它包含并统一了现有的各种解。新τ函数的自由费米子表示和Baker函数也可以构造出来。
We show that it is convenient to use “gauge” transformations (sometimes called explicit Bäcklund transformations) to generate new solutions for the KP hierarchy. Two particular kinds of gauge transformation operators, constructed out of the initial wave functions, are of fundamental importance in this approach. Through such gauge transformations, a very simple formula for the tau-function is obtained, encompassing and unifying all kinds of existing solutions. The corresponding free fermion representation and Baker functions for the new τ function can also be constructed.