The soliton connection

DOI10.1007/BF00420665zbMath0363.35032MaRDI QIDQ1240369

D. C. Robinson, Felix A. E. Pirani, Mike Crampin

Publication date: 1977

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

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Solitary waves for incompressible inviscid fluids (76B25) Scattering theory for PDEs (35P25) Linear and affine connections (53B05)

Related Items (30)

Second order evolution equations which describe pseudospherical surfaces ⋮ A super soliton connection ⋮ The sine-Gordon equation, Tchebyshev nets, and harmonic maps ⋮ Nonlinear wave equations, covariant exterior derivative, Painlevé test, and integrability ⋮ Sinh-Gordon equation, Painlevé property and Bäcklund transformation ⋮ Unnamed Item ⋮ Tests of integrability of the supersymmetric nonlinear Schrödinger equation ⋮ On formal integrability of evolution equations and local geometry of surfaces ⋮ A class of third order quasilinear partial differential equations describing spherical or pseudospherical surfaces ⋮ Equations with soliton solutions and the pseudosphere ⋮ Geometrical structure and Bäcklund transformations of nonlinear evolution equations possessing a lax representation ⋮ Bäcklund transformations for the equation z//(uv)=(2 \(z_ u\) \(z_ v)\)/z + z ⋮ Super extensions of the short pulse equation ⋮ Soliton geometry and the vacuum gravitational field equations ⋮ osp(N,2) AKNS equations ⋮ Motion of curves on two-dimensional surfaces and soliton equations ⋮ Nonlinear Schrödinger equations and Virasoro algebra ⋮ Curvature form and solutions of nonlinear models ⋮ Editorial note to: J. L. Synge, ``On the deviation of geodesics and null geodesics, particularly in relation to the properties of spaces of constant curvature and indefinite line-element and to: F. A. E. Pirani, ``On the physical significance of the Riemann tensor ⋮ Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat) ⋮ On a geometrical property of the Bäcklund transformation of the sine- Gordon equation ⋮ Fourth order evolution equations which describe pseudospherical surfaces ⋮ Lie groups and KdV equations ⋮ On the intrinsic geometry of certain nonlinear equations: The sine-Gordon equation ⋮ A class of quasilinear second order partial differential equations which describe spherical or pseudospherical surfaces ⋮ The KdV prolongation algebra ⋮ Bäcklund transformations and the symmetries of the Yang equations ⋮ New nonlinear evolution equations from surface theory ⋮ Bundle connections and Bäcklund transformations for gravitational fields with isometries ⋮ On generalized Bäcklund transformations for equations describing pseudo-spherical surfaces

Cites Work

• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• Nonlinear-Evolution Equations of Physical Significance
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

This page was built for publication: The soliton connection