Alexei Borisovich Shabat

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Alexei Borissowitsch Schabat ( Russian Алексей Борисович Шабат , English transcription Alexei Shabat ; * August 8, 1937 , † March 24, 2020 ) was a Russian theoretical physicist who dealt with integrable systems of mathematical physics.

Schabat completed his habilitation in 1974 (Russian doctorate) and was a senior scientist (Principal Researcher) and professor at the Landau Institute in Moscow.

In the early 1970s he made important contributions to the theory of the solitons with Vladimir Evgenyevich Sakharov (VE Zakharov). For example, they solved the non-linear Schrödinger equation using the inverse scattering transformation (IST) method and transferred the IST to soliton equations in several space variables.

Fonts

  • with VE Zakharov: Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media, Sov. Phys. JETP, Vol. 34, 1972, pp. 62-69
  • with VE Zakharov: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I, Funct. Anal. Appl., Volume 8, 1974, pp. 226-235 (Part 2 in Volume 13, 1979, pp. 166-174)

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