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Stationary Nonlinear Schrodinger Equation on Simplest Graphs: Boundary conditions and exact solutions
Nonlinear Schrodinger Equation Simplest Graphs Mathematical Physics
2011/9/29
Abstract: We treat the stationary (cubic) nonlinear Schr\"odinger equation (NSLE) on simplest graphs. Formulation of the problem and exact analytical solutions of NLSE are presented for star graphs co...
Exact solutions for small-amplitude capillary-gravity water waves
small-amplitude capillary-gravity water waves Fluid Dynamics
2011/7/26
Abstract: We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the sur...
Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
Small-amplitude capillary-gravity water waves particle motion beneath Fluid Dynamics
2011/7/26
Abstract: Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitud...
Exact solutions for small-amplitude capillary-gravity water waves
capillary-gravity water waves Exact solutions
2011/9/14
We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the surface of an...
Small-amplitude capillary-gravity water waves: exact solutions and particle motion beneath such waves
capillary-gravity water waves exact solutions particle motion
2011/9/14
Two-dimensional periodic surface waves propagating under the combined influence of gravity and surface tension on water of finite depth are considered. Within the framework of small-amplitude waves, w...
Exact Solutions of the Self-consistent System of Relativistic Magnetohydrodynamics Equations for an Anisotropic Plasma on the Background of Bondi-Pirani-Robinson's Metric
the Self-consistent System Relativistic Magnetohydrodynamics Equations
2010/11/17
Exact solutions of the self-consistent relativistic magnetohydrodynamics equations for an anisotropic magnetized plasma on the background of Bondi-Pirani-Robinson's vacuum plane gravitational wave (P...
Exact Solutions of the Self-consistent System of Relativistic Magnetohydrodynamics Equations for an Anisotropic Plasma on the Background of Bondi-Pirani-Robinson's Metric
Gravitational Waves Magnetoactive Plasma Relativistic Magneto-hydrodynamics Exact Solutions
2010/12/20
Exact solutions of the self-consistent relativistic magnetohydrody-namics equations for an anisotropic magnetized plasma on the background of Bondi-Pirani-Robinson’s vacuum plane gravitational wave (P...
Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing
Richardson-Gaudin Algebras Proton-Neutron Pairing
2011/1/7
Many exactly solvable models are based on Lie algebras. The pair- ing interaction is important in nuclear physics and its exact solution for identical particles in non-degenerate single-particle level...
On the stability of some exact solutions to the generalized convection-reaction-diffusion equation
convection-reaction-diffusion equation exact solutions
2010/4/21
Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.
Comment on：“New exact solutions for the Kawahara equation using Exp-function method”
Nonlinear evolution equation Kawahara equation Exactso-lution Exp-function method
2010/4/21
Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, J. Com. Appl. Math. 233 (2009) 97--102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and conseque...
Polynomial algebras and exact solutions of general quantum non-linear optical models I: Two-mode boson systems
Polynomial algebras exact solutions quantum non-linear optical
2010/4/2
We introduce higher order polynomial deformations of $A_1$ Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use...
Exact solutions of a particle in a box with a delta function potential: The factorization method
particle delta function potential factorization method
2010/3/10
We find the exact eigenvalues and eigenfunctions for the problem of a particle in a box with a delta function potential $V(x)=\lambda\delta(x-x_{0})$ using the factorization method. We show that the p...
Exact solutions for a class of integrable Henon-Heiles-type systems
integrable Henon-Heiles-type systems periodic solutions
2010/4/8
We study the exact solutions of a class of integrable Henon-Heiles-type systems (according to the analysis of Bountis et al. (1982)). These solutions are expressed in terms of two-dimensional Kleinian...
Exact Solutions of the
φ6+φ5 Model Using Truncated Method
φ6+φ5
model solitary solutions truncated series method
2007/8/15
2007Vol.48No.2pp.295-298DOI:
Exact Solutions of the
φ6+φ5 Model Using Truncated Method
YANG Jian-Song
Physics Department, Hangzhou Normal University, Hangzhou 310036, ...
Exact Solutions of the Coupled KdV System via a
Formally Variable Separation Approach
formal variable separation approach nonintegrable
model exact solutions solitary wave
2007/8/15
2001Vol.36No.2pp.145-148DOI:
Exact Solutions of the Coupled KdV System via a
Formally Variable Separation Approach
LOU Sen-Yue,1,2 TANG Xiao-Yan1 and LIN Ji1,3,4
1 Appl...