Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems
Permanent address: Independent University of Moscow, B. Vlasevsky 11, 119002 Moscow, Russia
- https://doi.org/10.1080/14029251.2014.975532How to use a DOI?
- Partial differential equations, symmetry reductions, solutions
We present a complete description of 2-dimensional equations that arise as symmetry reductions of four 3- dimensional Lax-integrable equations: (1) the universal hierarchy equation uyy = uzuxy− uyuxz; (2) the 3D rdDym equation uty = uxuxy− uyuxx; (3) the equation uty = utuxy− uyutx, which we call modified Veronese web equation; (4) Pavlov's equation uyy = utx + uyuxx− uxuxy.
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Cite this article
TY - JOUR AU - H. Baran AU - I.S. Krasil'shchik AU - O.I. Morozov AU - P. Vojčák PY - 2021 DA - 2021/01 TI - Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems JO - Journal of Nonlinear Mathematical Physics SP - 643 EP - 671 VL - 21 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.975532 DO - https://doi.org/10.1080/14029251.2014.975532 ID - Baran2021 ER -