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• Nonlinear dissipative structures as model of two-dimensional optic solitons

  We study the Darboux and Laplace transformations for the Boiti — Leon — Pempinelli equations (BLP). These equations are the (1+2) generalization of the sinh-Gordon equation. In addition, the BLP equations reduced to the Burgers equation in a one-dimensional limit. Localized nonsingular ...

• On the relations between the integrable hierarchies

  ... уравнений Дэви — Стюартсона // ТМФ. 1996. Т. 109, № 3. С. 338—346. 12. Yurov A. V. BLP dissipative structures in plane // Phys. Lett. A. 1999. Vol. 262. P. 445–452. 13. Leble S. B., Yurov A. V. Reduction Restrictions of Darboux and Laplace Transformations for the Goursat Equation // Journal of Mathematical Physics. 2002. Vol. 43, № 2. P. 1095–1105. 14. Yurov V. A., Yurov A. V. The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation. arXiv:1509.06078 [nlin.SI]. Yurov ...