https://doi.org/10.1140/epjp/s13360-025-06451-5
Regular Article
Multiple solitons, Lump and symmetry analysis for a nonlocal (2+1)-dimensional Ito equation
Institute of Nonlinear Science, Shaoxing University, 312000, Shaoxing, China
Received:
5
April
2025
Accepted:
16
May
2025
Published online:
6
June
2025
A nonlocal (2+1)-dimensional Ito (NIto) equation with shifted space parity and delayed time reversal nonlocality is studied. N-soliton solutions of the NIto equation is derived from the N-soliton solutions of the local (2+1)-dimensional Ito equation. Some Lump-type solutions of the NIto equation are also generated from known solutions of the local (2+1)-dimensional Ito equation. By using the standard Lie symmetry method, symmetry reduction solutions of the NIto equation are obtained.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.