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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...
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 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...
Exact Solutions of Two Coupled Harmonic Oscillators Related
to the Sp(4,R) Lie Algebra
coupled harmonic oscillators Sp(4 R) Lie algebra vector coherent states
2007/8/15
2001Vol.35No.6pp.661-664DOI:
Exact Solutions of Two Coupled Harmonic Oscillators Related
to the Sp(4,R) Lie Algebra
PAN Feng and DAI Lian-Rong
Department of Physics, Lia...
Exact Solutions to Maccari's System
generalized Riccati relation Maccari's system exact solution
2007/8/15
2007Vol.48No.1pp.7-10DOI:
Exact Solutions to Maccari's System
PAN Jun-Ting and GONG Lun-Xun
School of Science, Guizhou Normal University, Guiyang 550001, China
...
A Class of Quasi-exact Solutions of Rabi Hamiltonian
Rabi Hamiltonian quasi-exact solutions energy spectrum atom-field entanglement
2007/8/15
2007Vol.48No.1pp.53-56DOI:
A Class of Quasi-exact Solutions of Rabi Hamiltonian
PAN Feng,1,2 YAO You-Kun,1 XIE Ming-Xia,1 HAN Wen-Juan,1 and J.P. Draayer2
1 Department o...
Coordinate Transformation and Exact Solutions of Schrödinger
Equation with Position-Dependent Effective Mass
coordinate transformation Schrö dinger equation
position-dependent mass eigenfunction special functions
2007/8/15
2007Vol.47No.6pp.1001-1009DOI:
Coordinate Transformation and Exact Solutions of Schrödinger
Equation with Position-Dependent Effective Mass
JU Guo-Xing,1 CAI Chang-Ying,1,2 X...