On generalized Lax equation of the Lax triple of KP Hierarchy |
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| Authors: | Xiao-Li Wang Lu Yu Yan-Xin Yang |
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| Institution: | 1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. School of Science, Qilu University of Technology, Jinan 250353, China;3. Economic management Branch, Jiangxi Industry polytechnic college, Nanchang 330039,China;4. College of Arts and Sciences, Shanxi Agricultural University, Taigu, Shanxi 030801, China |
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| Abstract: | In terms of the operator Nambu 3-bracket and the Lax pair (L, Bn) of the KP hierarchy, we propose the generalized Lax equation with respect to the Lax triple (L, Bn, Bm). The intriguing results are that we derive the KP equation and another integrable equation in the KP hierarchy from the generalized Lax equation with the different Lax triples (L, Bn, Bm). Furthermore we derive some no integrable evolution equations and present their single soliton solutions. |
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| Keywords: | Integrable systems KP hierarchy Lax triple |
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