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Displaying 301 – 320 of 441

Quasi-periodic solutions of Hamiltonian PDEs

Massimiliano Berti (2011)

Journées Équations aux dérivées partielles

We overview recent existence results and techniques about KAM theory for PDEs.

Quasi-periodic solutions with Sobolev regularity of NLS on $𝕋^{d}$ with a multiplicative potential

Massimiliano Berti, Philippe Bolle (2013)

Journal of the European Mathematical Society

We prove the existence of quasi-periodic solutions for Schrödinger equations with a multiplicative potential on $𝕋^{d}, d \geq 1$ , finitely differentiable nonlinearities, and tangential frequencies constrained along a pre-assigned direction. The solutions have only Sobolev regularity both in time and space. If the nonlinearity and the potential are $C^{\infty}$ then the solutions are $C^{\infty}$ . The proofs are based on an improved Nash-Moser iterative scheme, which assumes the weakest tame estimates for the inverse linearized operators...

Random matrices and permutations, matrix integrals and integrable systems

Pierre van Moerbeke (1999/2000)

Séminaire Bourbaki

Rational solutions of the H3 and Q1 models in the ABS lattice list.

Shi, Ying, Zhang, Da-Jun (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Real commutative differential operators associated with two-dimensional Abelian varieties.

Mironov, A.E. (2002)

Sibirskij Matematicheskij Zhurnal

Real Hamiltonian forms of affine Toda models related to exceptional Lie algebras.

Gerdjikov, Vladimir S., Grahovski, Georgi G. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Reality conditions of loop solitons genus $g$ : hyperelliptic am functions.

Matsutani, Shigeki (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Recursion in curve geometry.

Langer, Joel (1999)

The New York Journal of Mathematics [electronic only]

Reduction of infinite dimensional equations.

Li, Zhongding, Xu, Taixi (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type.

Gerdjikov, Vladimir S., Kostov, Nikolay A. (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Regularity of weak KAM solutions and Mañé’s Conjecture

Ludovic Rifford (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

We provide a crash course in weak KAM theory and review recent results concerning the existence and uniqueness of weak KAM solutions and their link with the so-called Mañé conjecture.

Currently displaying 301 – 320 of 441

Previous Page 16 Next

Displaying 301 – 320 of 441

Quasi-periodic solutions of Hamiltonian PDEs

Quasi-periodic solutions with Sobolev regularity of NLS on $𝕋^{d}$ with a multiplicative potential

Random matrices and permutations, matrix integrals and integrable systems

Rational solutions of the H3 and Q1 models in the ABS lattice list.

Real commutative differential operators associated with two-dimensional Abelian varieties.

Real Hamiltonian forms of affine Toda models related to exceptional Lie algebras.

Reality conditions of loop solitons genus $g$ : hyperelliptic am functions.

Recursion in curve geometry.

Reduction of infinite dimensional equations.

Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type.

Regularity of weak KAM solutions and Mañé’s Conjecture

Remarks on the Darboux transform of isothermic surfaces.

Restricted flows and the soliton equation with self-consistent sources.

Scalar-flat Kähler metrics with SU (2) symmetry.

Self-consistent-field method and $τ$ -functional method on group manifold in soliton theory: a review and new results.

Singularity analysis and integrability of a Burgers-type system of Foursov.

Solitary waves in massive nonlinear $𝕊^{N}$ -sigma models.

Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.

Soliton and periodic wave solutions to the osmosis $K (2, 2)$ equation.

Soliton scattering by delta impurities

Currently displaying 301 – 320 of 441