Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces

DOI10.1007/s10958-007-0183-5zbMath1130.53012OpenAlexW2002033556MaRDI QIDQ2462066

E. V. Maevskii, A. G. Popov

Publication date: 23 November 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0183-5

zbMATH Keywords

sine-Gordon equationBäcklund transformationpseudospherical surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (7)

Evolutes of meridians and asymptotics on pseudospheres ⋮ Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping ⋮ Algorithmic aspects of software realization of the FD-method for the solution of the nonlinear Klein-Gordon equation ⋮ The sine-Gordon equation on time scales ⋮ Topologically embedded helicoidal pseudospherical cylinders ⋮ Asymptotic lines on pseudospheres and the angle of parallelism ⋮ Numerical solution of fractional sine-Gordon equation using spectral method and homogenization

Cites Work

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• SOME SOLUTIONS OF THE SIN-GORDON EQUATION OBTAINED BY MEANS OF A BÄCKLUND TRANSFORMATION
• BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION
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