Integrable nonlinear evolution equations and dynamical systems in multidimensions

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

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Integrable many-body problems in more than one dimension
A class of solvable dynamical systems
Three integrable Hamiltonian systems connected with isospectral deformations
A system of particles equivalent to solitons
A new method for the investigation of arithmetical properties of analytic functions
Universal C-integrable nonlinear partial differential equation in N+1 dimensions
Method for Solving the Korteweg-deVries Equation
Statistically based inverse scattering from complex symmetric targets using severely aspect-limited high-frequency phase derivative data
Nonlinear evolution equations, rescalings, model PDES and their integrability: I
The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4
C-Integrable nonlinear partial differential equations in N+1 dimensions
Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
Interpolation in multidimensions, a convenient finite-dimensional matrix representation of the (partial) differential operators, and some applications
Solvable (nonrelativistic, classical) n-body problems on the line. I
Solvable (nonrelativistic, classical) n-body problems in multidimensions. I
A class of C-integrable PDES in multidimensions
On the Toda Lattice. II: Inverse-Scattering Solution
Integrals of nonlinear equations of evolution and solitary waves
A modified modified Korteweg-de Vries equation

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