Cubic-Quintic
Bistable dark solitons of a cubic quintic Helmholtz equation
... In this paper, we consider a type of bistability, proposed by Gatz and Herrmann [17], that describes non-degenerate solitons: one can find pairs of beam solutions that have the same full-width-at-half-maximum (FWHM) but ...
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Stability Analysis of Damped Cubic Quintic Duffing Oscillator
... damped cubic-quintic Duffing ...damped cubic-quintic Duffing oscillator obtain- ing a uniformly valid ...un-damped cubic-quintic Duffing oscillator as a special case of our ...
15
Analytical Solutions of Undamped and Autonomous Cubic-Quintic Duffing Equation
... Abstract: In this paper, based on a combination of homogenous balance and the rational expansion method, the exact analytical and closed-form solutions of the Duffing equation with cubic and quintic ...
7
On a laser (3+1)-dimensional vectorial cubic-quintic complex Ginzburg-Landau equation and modulational instability
... especially the disintegration of the plane wave solutions into nonlinear waves patterns. 396.[r] ...
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Spatio Temporal Pulsating Dissipative Solitons through Collective Variable Methods
... complex Cubic-quintic Ginzburg- Landau equation model is ...The quintic dissipative term in CGLE is essential to provide the stability of the optical pulse ...
10
Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems
... In conclusions, based on collective variable approach, we have presented the cartography of stationary dissipa- tive solitons modeled by the 3D complex cubic-quintic Ginzburg-Landau equation. We showed that ...
10
Helmholtz algebraic solitons
... Abstract. We report, to the best of our knowledge, the first exact analytical algebraic solitons of a generalized cubic-quintic Helmholtz equation. This class of governing equation plays a key role in ...
17
Numerical solutions of second order matrix differential equations using basis splines
... the cubic, quintic and septic B-splines functions to develop a numerical method for obtaining approximation solution numerical solution of the matrix differential equations of second order with boundary ...
11
Soliton Parameter Dynamics in a Non-Kerr Law Media
... Bhadra,“Study of pulse evolution and optical bistability under the influence of cubic-quintic nonlinearity and third order dispersion,” Journal of Nonlinear Optical Physics and Materials [r] ...
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Accuracy and Computational Cost of Interpolation Schemes While Performing N Body Simulations
... the cubic, quintic, two-step, and three-step Her- mite interpolation schemes applied to the Kepler problem over the interval [ 0, 2π for eccentricities in the ] range ...
10
Construction of Quintic Trigonometric Bézier Spiral Curve
... from cubic Bézier curve, PH quintic Bézier curve is oftenly used as a basis function to construct transition curve (Habib & Sakai, 2005; Walton & Meek, ...PH quintic trigonometric Bézier ...
8
Geometric Invariant Theory Compactification of Quintic Threefolds.
... Quintic threefolds are a class of projective varieties which occupy a special place in algebraic geometry. They are some of the simplest examples of Calabi-Yau varieties. Calabi-Yau varieties have received a great ...
106
quintic functional equation and a general sextic
... for all x, y ∈ X. Also we easily show that DF (x, y) = 0 by the similar method for the other cases, either 0 ≤ p < 1 or 1 < p < 2 or 3 < p < 4 or 4 < p < 5 or 5 < p. To prove the uniqueness of F , ...
15
Approximately cubic functional equations and cubic multipliers
... a cubic functional equation and every solution of this cubic functional equation is said to be a cubic func- ...a cubic functional equation f(x + 2y) + f(x - 2y) + 6f(x) = f(x + y) + 4f(x - y) ...
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Quadratic Extensions of Cyclic Quintic Number Fields
... cyclic quintic subfield, we have followed without major modification, the method of explicit construction of quadratic relative extensions as described in [ ? ...
5
Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... the cubic spline interpolation and cubic B-spline interpolation and Crank-Nicolson ...equation, cubic spline, cubic B-spline interpolation and Crank-Nicolson are ...
21
Conditional linearization of the quintic nonlinear beam equation
... In this paper, the linearization of third-order ordinary differential equations, which are the transformed equations of the quintic nonlinear beam equation, is presented. First of all, a third-order ordinary ...
6
Cubic Graphs with Application
... Cubic sets are one of the real generalizations of fuzzy sets [27] provided by Jun et al. [9–11, 15, 26] during the last five years. They developed cubic set theory in many directions and for more detail ...
18
Tables of Pure Quintic Fields
... DOI: 10.4236/apm.2019.94017 348 Advances in Pure Mathematics suggested verbatim: In conclusion, the author would like to say that he believes a numerical study of pure quintic fields would be most interesting ([1] ...
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Center conditions for a simple class of quintic systems
... It is known that isochronism of a center of a planar polynomial system is equivalent to the existence of an analytic transversal system commuting with a given system in a neighborhood of[r] ...
8