Boundary conditions for integrable lattices
Copyright policy )Boundary conditions for integrable lattices
The boundary condition \(w_0= F(x,w_1,\dots, w_m)\) reduces the chain \(w_{j,x}= h(x,w_{j-1} w_j, w_{j+1})\) to a problem on the half-line. In the paper a finite-dimensional system is considered with two boundary conditions \[ w_0= F(x, w_1,\dots, w_m),\;w_{N+1}= G(X, w_{N- m},\dots, w_N). \] The boundary conditions must be compatible with the pair of symmetries. Bäcklund transformations are constructed.
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Painleve equations, Other completely integrable PDE, Volterra lattice, NLS equations (nonlinear Schrödinger equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Bäcklund transformation
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Painleve equations, Other completely integrable PDE, Volterra lattice, NLS equations (nonlinear Schrödinger equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Bäcklund transformation
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