Ground State and Geometrically Distinct Solitons of Discrete Nonlinear Schrödinger Equations with Saturable Nonlinearities
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Publication:2868623
DOI10.1111/sapm.12016zbMath1277.35313OpenAlexW1564257380MaRDI QIDQ2868623
Publication date: 17 December 2013
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12016
Related Items (21)
Ground state periodic solutions for Duffing equations with superlinear nonlinearities ⋮ Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems ⋮ Multiple solutions of discrete Schrödinger equations with growing potentials ⋮ Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities ⋮ Ground state solutions for periodic discrete nonlinear Schrödinger equations ⋮ Non-periodic discrete Schrödinger equations: ground state solutions ⋮ Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms ⋮ Discrete Schrödinger equations with sign-changing nonlinearities: infinitely many homoclinic solutions ⋮ Perturbed Schrödinger lattice systems: existence of homoclinic solutions ⋮ Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions ⋮ Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities ⋮ Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices ⋮ Exciting rogue waves, breathers, and solitons in coherent atomic media ⋮ Multiple solutions for discrete periodic nonlinear Schrödinger equations ⋮ Homoclinic solutions in periodic difference equations with mixed nonlinearities ⋮ Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms ⋮ Perturbed Schrödinger lattice systems with superlinear terms: multiplicity of homoclinic solutions ⋮ Multiple solutions for non-periodic Schrödinger lattice systems with perturbation and super-linear terms ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Ground state solutions for periodic discrete Schrödinger equations with local super-quadratic conditions ⋮ Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities
Cites Work
- Unnamed Item
- Unnamed Item
- Discrete nonlinear Schrödinger equations with superlinear nonlinearities
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- Solutions for discrete periodic Schrödinger equations with spectrum 0
- Gap solitons in periodic discrete Schrödinger equations with nonlinearity
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
- Existence of gap solitons in periodic discrete nonlinear Schrödinger equations
- Ground state solutions for some indefinite variational problems
- Guidance properties of nonlinear planar waveguides
- Centre manifold reduction for quasilinear discrete systems
- Energy properties of discrete breathers
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach
- Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
- Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity
- On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity
- Breather solutions of the discrete nonlinear Schrödinger equations with unbounded potentials
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Periodic motions of an infinite lattice of particles with nearest neighbor interaction
- Gap solitons in periodic discrete nonlinear Schrödinger equations
- Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.
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