Boundary conditions for infinite conservation laws

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)

Cites Work

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An infinite set of conservation laws for infinite symmetries
Infinite conservation laws for differential systems
Generalized Laplace invariants and the method of Darboux
Some classification results for hyperbolic equations \(F(x,y,u,u_x,u_y,u_{xx},u_{xy},u_{yy})=0\)
Symmetry group analysis and invariant solutions of hydrodynamic-type systems
On the Darboux integrable hyperbolic equations
Invariant solutions of hydrodynamic-type equations
Exactly integrable hyperbolic equations of Liouville type
On conserved densities and boundary conditions for the Davey–Stewartson equations
Boundary conditions and Conserved densities for potential Zabolotskaya-Khokhlov equation
Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups
On the infinite-dimensional symmetry group of the Davey–Stewartson equations
An infinity of polynomial conserved densities for a class of nonlinear evolution equations
Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equations
Evolution equations possessing infinitely many symmetries
Infinite-dimensional symmetry algebras and an infinite number of conserved quantities of the (2+1)-dimensional Davey–Stewartson equation
On symmetries, conservation laws, and variational problems for partial differential equations
Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
Infinite symmetries and conservation laws
CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
On conserved densities and asymptotic behaviour for the potential Kadomtsev–Petviashvili equation
Symmetry and perturbation of the vector nonlinear Schrödinger equation

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