Zakharov–Shabat system and hyperbolic pseudoanalytic function theory

DOI10.1002/MMA.1206zbMath1196.30043arXiv0808.3219OpenAlexW3098691823MaRDI QIDQ5187916

Viktor G. Kravchenko, Vladislav V. Kravchenko, Sébastien Tremblay

Publication date: 9 March 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3219

zbMATH Keywords

Zakharov-Shabat systemhyperbolic algebrapseudoanalytic function theory

Mathematics Subject Classification ID

Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (4)

Bicomplex modules with indefinite inner product ⋮ On Bers generating functions for first order systems of mathematical physics ⋮ Construction of transmutation operators and hyperbolic pseudoanalytic functions ⋮ Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator

Cites Work

• Unnamed Item
• An outline of the theory of pseudoanalytic functions
• On a factorization of second-order elliptic operators and applications
• On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions
• On the Klein–Gordon equation and hyperbolic pseudoanalytic function theory
• The Expansion Theorem for Pseudo-Analytic Functions

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