Multisymplectic Schemes for the Complex Modified Korteweg-de Vries Equation

Karasözen, Bülent
In this paper, the multisymplectic formulation of the CMKdV(complex modified Korteweg-de Vries equation) is derived. Based on the multisymplectic formulation, the eight-point multisymplectic Preissman scheme and a linear-nonlinear multisymplectic splitting scheme are developed. Both methods are compared numerically with respect to the conservation of local and global quantities of the CMKdV equation.


Inverse problems for a semilinear heat equation with memory
Kaya, Müjdat; Çelebi, Okay; Department of Mathematics (2005)
In this thesis, we study the existence and uniqueness of the solutions of the inverse problems to identify the memory kernel k and the source term h, derived from First, we obtain the structural stability for k, when p=1 and the coefficient p, when g( )= . To identify the memory kernel, we find an operator equation after employing the half Fourier transformation. For the source term identification, we make use of the direct application of the final overdetermination conditions.
Polynomial solutions of the Schrodinger equation for the generalized Woods-Saxon potential
Berkdemir, C; Berkdemir, A; Sever, Ramazan (American Physical Society (APS), 2005-08-01)
The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential are obtained by means of Nikiforov-Uvarov (NU) method. Certain bound states of the Schrodinger equation for the potential are calculated analytically and the wave functions are found in terms of the Jacobi polynomials. It is shown that the results are in good agreement with those obtained previously.
Painleve classification of coupled Korteweg-de Vries systems
Karasu, Emine Ayşe (1997-07-01)
In this work, we give a classification of coupled Korteweg-de Vries equations. We found new systems of equations that are completely integrable in the sense of Painleve. (C) 1997 American Institute of Physics.
Quantum mechanical treatment of the problem of constraints in non-extensive formalism revisited
Bagci, G. B.; Arda, Altug; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2007-07-10)
The purity of Werner state in non-extensive formalism associated with two different constraints has been calculated in a previous paper by Bagci et al.(17) Two different results have been obtained corresponding to ordinary probability and escort probability. The former has been shown to result in negative values thereby leading authors to deduce the advantage of escort probabilities over ordinary probabilities. However, these results have only been for a limited interval of q values which lie between 0 and ...
Hybrid Surface Integral Equations for Optimal Analysis of Perfectly Conducting Bodies
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2015-07-24)
We consider hybrid formulations involving simultaneous applications of the electric-field integral equation (EFIE), the magnetic-field integral equation (MFIE), and the combined-field integral equation (CFIE) for the electromagnetic analysis of three-dimensional conductors with arbitrary geometries. By selecting EFIE, MFIE, and CFIE regions on a given object, and optimizing these regions in accordance with the simulation requirements, one can construct an optimal hybrid-field integral equation (HFIE) that p...
Citation Formats
A. AYDIN and B. Karasözen, “Multisymplectic Schemes for the Complex Modified Korteweg-de Vries Equation,” Psalidi, Greece , 2008, vol. 1048, Accessed: 00, 2020. [Online]. Available: