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Nonlocal integrable equations from the mKP hierarchy

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Abstract

A class of non-local integrable equations is proposed as a new generalization of the constrained 1st modified KP hierarchy (i.e. Kupershmidt–Kiso version), which is called the generalized k-modified intermediate long wave (\(\hbox {gILW}_k\) for short) hierarchy. Then the bilinear formulations for the \(\hbox {gMILW}_k\) hierarchy are constucted. Based on the bilinear formulations, rational and soliton solutions are obtained by using the boson-fermion correspondence.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (Grant No. 12171472).

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  1. School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, Jiangsu, People’s Republic of China

    Wenjuan Rui & Jipeng Cheng

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  1. Wenjuan Rui
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  2. Jipeng Cheng
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Correspondence to Jipeng Cheng.

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Rui, W., Cheng, J. Nonlocal integrable equations from the mKP hierarchy. Anal.Math.Phys. 12, 134 (2022). https://doi.org/10.1007/s13324-022-00750-1

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