Results 11 to 20 of about 36,135 (246)
We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri +3 more
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In this paper, a random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains is considered, in which the nonlinear term satisfies a local Lipschitz condition.
Zhang Chen, Lingyu Li, Dandan Yang
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 more
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Mirror Symmetry and the Web of Landau-Ginzburg String Vacua [PDF]
We present some mathematical aspects of Landau-Ginzburg string vacua in terms of toric geometry. The one-to-one correspondence between toric divisors and some of (-1,1) states in Landau-Ginzburg model is presented for superpotentials of typical types ...
Aspinwall +29 more
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Adomian, G., Meyers, R.E.
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Ginzburg–Landau equations and their generalizations
The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later on that these equations play an important role also in various problems of mathematical physics.
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The Ginzburg-Landau equation III. Vortex dynamics [PDF]
Summary: We study the time-dependent Ginzburg-Landau equation of Schrödinger type in two dimensions. The initial conditions are chosen to describe several well-separated vortices. Our task is to understand the vortex structure of the corresponding solutions as well as corrections due to radiation.
Ovchinnikov, Yu. N., Sigal, I. M.
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On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation
We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
Chunyan Huang
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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Controllability of the Ginzburg–Landau equation
This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.
Rosier, Lionel, Zhang, Bing-Yu
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