Traveling Solitary Waves in DNLS Equations
DOI10.1007/978-3-540-89199-4_21zbMath1187.37107OpenAlexW1487088888MaRDI QIDQ3654746
Thomas Melvin, Vassilis M. Rothos, Alan R. Champneys
Publication date: 11 January 2010
Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-540-89199-4_21
discrete nonlinear Schrödinger equationsmathematical formulationtraveling solitary wavescentral problem, advance-delay equationspatial dynamical system.
NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
- Unnamed Item
- Discrete nonlinear Schrödinger equations free of the Peierls-Nabarro potential
- Nonlinear coherent structures in physics and biology. Proceedings of the 7th interdisciplinary workshop, held at Dijon, France, 4-6 June, 1991
- Solitons on lattices
- Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach
- A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- Moving kinks and nanopterons in the nonlinear Klein-Gordon lattice
- Bifurcations of travelling wave solutions in the discrete NLS equations
- Moving discrete breathers?
- One-parameter localized traveling waves in nonlinear Schrödinger lattices
- Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics
- Translationally invariant nonlinear Schrödinger lattices
- Continuous Families of Embedded Solitons in the Third-Order Nonlinear Schrodinger Equation
- Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation
- Nonlinear differential–difference equations and Fourier analysis
- Travelling waves in the Fermi-Pasta-Ulam lattice
- Exponential asymptotic expansions and approximations of the unstable and stable manifolds of singularly perturbed systems with the Hénon map as an example
- Nonintegrable Schrödinger discrete breathers
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