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Citation - WoS: 13
Multi-symplectic integration of coupled non-linear Schrodinger system with soliton solutions
(Taylor & Francis Ltd, 2009) Aydin, Ayhan; Karasoezen, Buelent
Systems of coupled non-linear Schrodinger equations with soliton solutions are integrated using the six-point scheme which is equivalent to the multi-symplectic Preissman scheme. The numerical dispersion relations are studied for the linearized equation. Numerical results for elastic and inelastic soliton collisions are presented. Numerical experiments confirm the excellent conservation of energy, momentum and norm in long-term computations and their relations to the qualitative behaviour of the soliton solutions.
Citation - WoS: 3
Citation - Scopus: 3
Inverse Spectral Problem for Finite Jacobi Matrices With Zero Diagonal
(Taylor & Francis Ltd, 2015) Aydin, Ayhan; Guseinov, Gusein Sh.
In this study, the necessary and sufficient conditions for solvability of an inverse spectral problem about eigenvalues and normalizing numbers for finite-order real Jacobi matrices with zero diagonal elements are established. Anexplicit procedure of reconstruction of the matrix from the spectral data consisting of the eigenvalues and normalizing numbers is given. Numerical examples and error analysis are provided to demonstrate the solution technique of the inverse problem. The results obtained are used to justify the solving procedure of the finite Langmuir lattice by the method of inverse spectral problem.