A Lax pair for the (1+3) nonlinear equation
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Chirikov R., Yurova A
Lax pair, (1 + 3) nonlinear partial differential equation, exact solution, integrable equation.
11-18
The real analog of the NS system and Viete type polynomials
The article considers the real analog of the Schrodinger nonlinear system of equations (NSE). The generated Lax pair reveals to be an invariant
for Schlesinger transformation, with the help of which a set of solutions expressed through Viète type polynomials has been founded.
1.
Дидковский П.
В.,
Зайцев
А.
А.
Замкнутые цепочки ...
The dynamics of localized pulse as solutions of Davey — Stewartson II equations
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(Charles) Li Ya., Yurov A.
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Lax pairs and Darboux transformations for Euler equations // Studies in Applied Mathematics. 2003. Т. 111, №
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Yurov A.
V., Yurova A.
A.
One method for constructing exact solutions of equations of two-dimensional hydrodynamics ...
On the relations between the integrable hierarchies
... 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 A., Yurova A.
Lax pair, nonlinear partial differential equation, exact solution, integrable equation
48-53
The new procedure of receiving the multisoliton solutions of the KdV equation
... Вестник Российского государственного университета им. И. Канта. Калининград
, 2008.
Вып. 4.
C
. 20—25.
Zaitsev A. A., Kargapolov D. A.
multisoliton solutions, KdV equations, Lax pair, normalised
polynomial.
21-25
10.5922/2223-2095-2009-4-4