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Hierarchies of multi-component mKP equations and theirs integrable couplings |
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| Authors: | Jie Ji Yu-qin Yao Deng-yuan Chen |
| Affiliation: | a College of Statistics and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, PR China b Department of Mathematical Sciences, Tsinghua University, Beijing 100084, PR China c Department of Mathematics, Huaiyin Normal College, Huaian 223001, PR China d Department of Mathematics, Shanghai University, Shanghai 200444, PR China |
| Abstract: | First, a new multi-component modified Kadomtsev-Petviashvill (mKP) spectral problem is constructed by k-constraint imposed on a general pseudo-differential operator. Then, two hierarchies of multi-component mKP equations are derived, including positive non-isospectral mKP hierarchy and negative non-isospectral mKP hierarchy. Moreover, new integrable couplings of the resulting mKP soliton hierarchies are constructed by enlarging the associated matrix spectral problem. |
| Keywords: | 02.30.Ik |
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