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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...
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...
Variable-Coefficient Mapping Method Based on Elliptical Equation
and Exact Solutions to Nonlinear Schrödinger Equations with
Variable Coefficient
variable-coefficient mapping method based on elliptical equation nonlinear Schrö dinger equation Jacobian elliptic function
solutions solitonic solutions trigonometric function solutions
2007/8/15
2006Vol.46No.4pp.656-662DOI:
Variable-Coefficient Mapping Method Based on Elliptical Equation
and Exact Solutions to Nonlinear Schrödinger Equations with
Variable Coefficient
...
The Exact Solutions of Some (2+1)-Dimensional Integrable Systems
soliton solution integrable system
2007/8/15
2002Vol.38No.2pp.129-132DOI:
The Exact Solutions of Some (2+1)-Dimensional Integrable Systems
CHEN Chun-Li1 and LI Yi-Shen1,2
1 Department of Physics, Shanghai Jiao Tong...
New Ansätze for Obtaining Exact Solutions of Nonlinear
Schrödinger-Type Equation
nonlinear Schrö dinger-type equation ansä tze exact solutions
2007/8/15
2006Vol.46No.2pp.249-252DOI:
New Ansätze for Obtaining Exact Solutions of Nonlinear
Schrödinger-Type Equation
BAI Cheng-Lin,1 ZHAO Hong,1 and ZHANG Li-Hua2
1 S...
Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations
variable separation Ito equation AKNS equation Hirota-Satsuma equation
localized excitation
2007/8/15
2006Vol.45No.2pp.236-238DOI:
Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations
SHEN Shou-Feng
Department of Mathematics, Zhejiang University of
Tec...
Exact Solutions to Extended Nonlinear Schrödinger
Equation in Monomode Optical Fiber
extended NLSE generally
projective Riccati equation method soliton solutions optical fiber
2007/8/15
2006Vol.45No.1pp.131-134DOI:
Exact Solutions to Extended Nonlinear Schrödinger
Equation in Monomode Optical Fiber
BAI Cheng-Lin, ZHAO Hong, and Wang Wei-Tao
Physica...
An Algebraic Method for Constructing Exact Solutions
to Difference-Differential Equations
difference differential equation soliton solutions exact solutions discrete
KdV equation Ablowitz-Ladik lattice equations
2007/8/15
2006Vol.45No.2pp.211-218DOI:
An Algebraic Method for Constructing Exact Solutions
to Difference-Differential Equations
WANG Zhen and ZHANG Hong-Qing
Department of Appli...
Exact Solutions for a Higher-Order Nonlinear Schrödinger
Equation in Atmospheric Dynamics
higher-order nonlinear Schrö dinger equation
atmospheric dynamics bright solitary wave dark solitary wave
2007/8/15
2006Vol.45No.3pp.573-576DOI:
Exact Solutions for a Higher-Order Nonlinear Schrödinger
Equation in Atmospheric Dynamics
HUANG Fei,1,2 TANG Xiao-Yan,1 and LOU Sen-Yue1,3
...