Programming of the generalized nonlinear paraxial equation for the formation of solitons with Mathematica.
Osman, Frederick, Beech, Robert (2005)
Journal of Applied Mathematics and Decision Sciences
Similarity:
Osman, Frederick, Beech, Robert (2005)
Journal of Applied Mathematics and Decision Sciences
Similarity:
Rolf Leis (1992)
Banach Center Publications
Similarity:
Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
Mathematical Problems in Engineering
Similarity:
Senaratne, G.G., Keam, R.B., Sweatman, W.L., Wake, G.C. (2007)
Computational & Mathematical Methods in Medicine
Similarity:
Hartmut Pecher (1984)
Mathematische Zeitschrift
Similarity:
Zayed, Elsayed M.E., Rahman, Hanan M.Abdel (2010)
Applied Mathematics E-Notes [electronic only]
Similarity:
Bose, S.K., Debnath, L. (1981)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Guillaume Bal, Lenya Ryzhik (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in...
Khalfallah, Mohammed (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Similarity:
Sevdzhan Hakkaev (2004)
Applicationes Mathematicae
Similarity:
We study the decay in time of solutions of a symmetric regularized-long-wave equation and we show that under some restriction on the form of nonlinearity, the solutions of the nonlinear equation have the same long time behavior as those of the linear equation. This behavior allows us to establish a nonlinear scattering result for small perturbations.
Marinakis, V. (2010)
Advances in Mathematical Physics
Similarity:
Yılmaz, Bülent (2007)
Mathematical Problems in Engineering
Similarity:
Cortés-Vega, Luis A. (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity: