scientific article
From MaRDI portal
Publication:3158277
zbMath1072.35003MaRDI QIDQ3158277
Publication date: 24 January 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
perturbationnonlinear Schrödinger equationKorteweg-de Vries equationsine-Gordon equationsoliton dynamicsinverse scattering methodsdispersive nonlinear wave phenomena
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (72)
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions ⋮ Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients ⋮ Wave dynamics on networks: method and application to the sine-Gordon equation ⋮ Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method ⋮ Effects produced by oscillations applied to nonlinear dynamic systems: a general approach and examples ⋮ Statistical approach of modulational instability in the class of derivative nonlinear Schrödinger equations ⋮ An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices ⋮ Forced oscillations of the string under conditions of ‘sonic vacuum’ ⋮ Numerical simulation of a class of nonlinear wave equations by lattice Boltzmann method ⋮ Supratransmission-induced traveling breathers in long Josephson junctions ⋮ Approximate solutions for some reaction-diffusion systems with non integer order ⋮ Analytical properties of the perturbed FitzHugh-Nagumo model ⋮ A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation ⋮ Model reduction for networks of coupled oscillators ⋮ Solutions of an extended KdV equation describing single stationary waves with strong or weak downstream decay in turbulent open‐channel flow ⋮ Solutions of the Gross-Pitaevskii equation in prolate spheroidal coordinates ⋮ Energy exchange and transition to localization in the asymmetric Fermi-pasta-Ulam oscillatory chain ⋮ On the classification of scalar evolution equations with non-constant separant ⋮ Conservation laws of the complex Ginzburg-Landau equation ⋮ Nonlocal Cauchy problems for semilinear differential inclusions with fractional order in Banach spaces ⋮ Noise-induced, ac-stabilized sine-Gordon breathers: emergence and statistics ⋮ Application of quasi-continuum models for perturbation analysis of discrete kinks ⋮ The stationary sine-Gordon equation on metric graphs: exact analytical solutions for simple topologies ⋮ The spectral method for solving sine-Gordon equation using a new orthogonal polynomial ⋮ Inverse source problem in a forced network ⋮ On intense energy exchange and localization in periodic FPU dimer chains ⋮ Existence and multiplicity of wave trains in 2D lattices ⋮ Existence of the solitary wave solutions supported by the modified FitzHugh–Nagumo system ⋮ Complex Envelope Variable Approximation in Nonlinear Dynamics ⋮ Statistical mechanics of systems with negative temperature ⋮ Off-equilibrium Langevin dynamics of the discrete nonlinear Schrödinger chain ⋮ Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation ⋮ Relaxation and coarsening of weakly-interacting breathers in a simplified DNLS chain ⋮ Nonlinear modes in helical lattices: localized modes and kinks ⋮ Finite-size effects in a stochastic Kuramoto model ⋮ Vibrations of nonlinear elastic lattices: low- and high-frequency dynamic models, internal resonances and modes coupling ⋮ Manakov model with gain/loss terms and \(N\)-soliton interactions: effects of periodic potentials ⋮ Discrete breathers in nonlinear Schrödinger hypercubic lattices with arbitrary power nonlinearity ⋮ Improved continuous models for discrete media ⋮ Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients ⋮ Quantum breathers in a nonlinear Klein Gordon lattice ⋮ High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods ⋮ Instability of static solutions of the sine-Gordon equation on a \(\mathcal{Y}\)-junction graph with \(\delta\)-interaction ⋮ Eigenstates and instabilities of chains with embedded defects ⋮ Multiple-soliton solutions for the Boussinesq equation ⋮ An ``Airy gun: self-accelerating solutions of the time-dependent Schrödinger equation in vacuum ⋮ Detecting structural complexity: from visiometrics to genomics and brain research ⋮ Anharmonic Oscillations, Dissipative Solitons and Non-Ohmic Supersonic Electric Transport ⋮ Information-entropic stability bound for compact objects: application to \(Q\)-balls and the Chandrasekhar limit of polytropes ⋮ A new approach for one-dimensional sine-Gordon equation ⋮ Near-critical turbulent open-channel flows over bumps and ramps ⋮ Simple Energy Control in Frenkel–Kontorova Model ⋮ Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics ⋮ Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems ⋮ Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation ⋮ Nonlinear Dynamics of Torsion Lattices ⋮ Localized solutions of nonlinear network wave equations ⋮ The Dynamics of Unstable Waves ⋮ Few-Lattice-Site Systems of Discrete Self-Trapping Equations ⋮ Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries ⋮ On graph Laplacian eigenvectors with components in \(\{- 1, 0, 1 \}\) ⋮ On integrability of nonautonomous nonlinear Schrödinger equations ⋮ Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations ⋮ Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation ⋮ Analysis of Keynes's mathematical model-effect of spatial factors ⋮ Nonlinear Hydrodynamics and Numerical Analysis for a Series of Catastrophic Floods/Debris (2011–2017): The Tectonic Wave Processes Possible Impact on Surface Water and Groundwater Flows ⋮ Ergodicity: How Can It Be Broken? ⋮ Spatial dynamics for lattice differential equations with a shifting habitat ⋮ Peakompactons: Peaked compact nonlinear waves ⋮ Empirical stability criteria for parametrically driven solitons of the nonlinear Schrödinger equation ⋮ Generation of travelling sine-Gordon breathers in noisy long Josephson junctions ⋮ Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph
This page was built for publication:
