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Exact analytic solitary wave solutions for the RKL model

Mathematics and Computers in Simulation, 2009
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Houria Triki, Thiab R. Taha
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Dynamic modes of quasispherical vesicles: Exact analytical solutions

Physical Review E, 2012
In this paper we introduce a simple mathematical analysis to reexamine vesicle dynamics in the quasispherical limit (small deformation) under a shear flow. In this context, a recent paper [Misbah, Phys. Rev. Lett. 96, 028104 (2006)] revealed a dynamic referred to as the vacillating-breathing (VB) mode where the vesicle main axis oscillates about the ...
Guedda, M.   +3 more
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Exact analytic solutions of Schrödinger linear and nonlinear equations

Applied Mathematics and Computation, 2010
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I. E. Kougias, Spiros Louvros
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Exact analytical solutions to the nonlinear Schrödinger equation model

Proceedings of the 2005 international symposium on Symbolic and algebraic computation, 2005
A method is developed for constructing a series of exact analytical solutions of the nonlinear Schrodinger equation model (NLSE) with varying dispersion, nonlinearity, and gain or absorption. With the help of symbolic computation, a broad class of analytical solutions of NLSE are obtained.
Biao Li, Yong Chen, Qi Wang
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Distribution functions of binary solutions (exact analytic solution)

Theoretical and Mathematical Physics, 2000
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Exact Analytical Solutions of the Hamiltonian with a Squared Tangent Potential

Journal of Mathematical Chemistry, 2003
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Exact analytical solutions basic to a class of two-body orbits

Celestial Mechanics, 1973
The theory of complex variables is used to establish exact analytical solutions to a class of two-body problems. In view of Lambert's theorem, two points on the conic, the chord-distance between the two points, and the time interval are considered given, and subsequently the solutions for the semi-major axis required to define the orbit are developed ...
Burniston, E. E., Siewert, C. E.
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An Exact Analytical Solution for Raindrop Collision Rate

Journal of the Atmospheric Sciences, 1995
Abstract An exact solution was found for the rate of collisions between raindrops by integrating over a finite drop size range. Collision rates computed from this solution were compared to those computed from a solution obtained by integrating over an infinite drop size range. The comparison revealed that, for a given reflectivity factor and intercept,
Robert R. Czys, Kung Chyun Tang
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Exact analytical solutions for forced undamped Duffing oscillator

International Journal of Non-Linear Mechanics, 2016
The steady-state response of an undamped Duffing oscillator to periodic external forces is studied. The forcing functions are chosen such that the time course of the displacement can be described by exact analytical expressions. The displacement and forcing functions are governed by Jacobi elliptic functions and thus are periodic but generally non ...
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Exact analytical solutions for nonlinear reaction–diffusion equations

Chaos, Solitons & Fractals, 2003
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