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Folded localized excitations of the (2+1)-dimensional (M+N)-component AKNS system

  • Mathematical Physics
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Abstract.

Starting from the standard truncated Painlevé expansion and a multilinear variable separation approach, a quite general variable separation solution of the (2+1)-dimensional (M+N)-component AKNS (Ablowitz–Kaup–Newell–Segur) system is derived. In addition to the single-valued localized coherent soliton excitations like dromions, breathers, instantons, peakons, and a previously revealed chaotic localized solution, a new type of multi-valued (folded) localized excitation is obtained by introducing some appropriate lower-dimensional multiple valued functions. The folded phenomenon is quite universal in the real natural world and possesses quite rich structures and abundant interaction properties.

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Authors and Affiliations

  1. Physics Science and Information Engineering School, Liaocheng University, Liaocheng, 252059, P.R. China

    Cheng-lin Bai & Hong Zhao

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  1. Cheng-lin Bai
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  2. Hong Zhao
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Correspondence to Cheng-lin Bai.

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Bai, Cl., Zhao, H. Folded localized excitations of the (2+1)-dimensional (M+N)-component AKNS system. Eur. Phys. J. B 42, 581–589 (2004). https://doi.org/10.1140/epjb/e2005-00018-6

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