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On the geometric origin of the equation \(\phi_{11}-\phi_{22} = \exp(\phi)-\exp(-2\phi)\)

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Publication:1155870
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DOI10.1007/BF00943430zbMath0467.53012OpenAlexW2942874518MaRDI QIDQ1155870

S. H. Smith

Publication date: 1980

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00943430


zbMATH Keywords

Lax representationnonlinear evolution equationinverse scattering methodunimodular affine space


Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Affine differential geometry (53A15) Methods of local Riemannian geometry (53B21)


Related Items

Nonlinear wave equations, covariant exterior derivative, Painlevé test, and integrability ⋮ New travelling-wave solutions for Dodd-Bullough equation ⋮ General solutions of nonlinear equations in the theory of minimal surfaces ⋮ General solutions of nonlinear equations in the geometric theory of the relativistic string ⋮ Nonlinear sigma model for the Dodd-Bullough equation



Cites Work

  • Integrable Hamiltonian systems and interactions through quadratic constraints
  • Unified approach to strings and vortices with soliton solutions
  • Unnamed Item
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