R. Yamilov

activity

19942020

most citedGeneralized symmetry integrability test for discrete equations on the square lattice

44 citations · 220 across the 19 of their papers we have counts for

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2 papers · 1 filter

solv-int1995★ 6 cited

Classification of evolutionary equations on the lattice. I. The general theory

D. Levi, R. Yamilov

A modification of the symmetry approach for the classification of integrable differential-difference equations of the form $u_{n, t} = f_{n} (u_{n - 1}, u_{n}, u_{n + 1}),$ where $n$ is…

solv-int1994★ 2 cited

Bäcklund transformation and the construction of the integrable boundary-value problem for the equation $u_{xx} - u_{tt} = e^{u} - e^{- 2 u}$

R. A. Sharipov, R. I. Yamilov

Bäcklund transformation for the Bullough-Dodd-Jiber-Shabat equation $u_{xx} - u_{tt} = e^{u} - e^{- 2 u}$ is found. The construction of integrable boundary condition for this equation togeth…

Classification of evolutionary equations on the lattice. I. The general theory

Bäcklund transformation and the construction of the integrable boundary-value problem for the equation uxx​−utt​=eu−e−2u

Bäcklund transformation and the construction of the integrable boundary-value problem for the equation $u_{xx} - u_{tt} = e^{u} - e^{- 2 u}$