Lax pairs for 3D spatial problems based on the Dirac operator

DOI10.1080/17476933.2013.804516zbMath1290.30056OpenAlexW2115228028WikidataQ58038874 ScholiaQ58038874MaRDI QIDQ5419437

Swanhild Bernstein, Paula Cerejeiras, Uwe Kaehler

Publication date: 6 June 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.804516

zbMATH Keywords

inverse scattering transformDirac operatorquaternionsLax pairsbiquaternions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

On the quaternionic short-time Fourier and Segal-Bargmann transforms

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• On a higher dimensional miuratransform
• A unified transform method for solving linear and certain nonlinear PDEs
• Integrals of nonlinear equations of evolution and solitary waves

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