Similar Search Results

Donagi, Ron Y.; Previato, Emma - In: Mathematics and Computers in Simulation (MATCOM) 55 (2001) 4, pp. 407-418

solitons. …

Persistent link: https://www.econbiz.de/10010870657

Finite-difference modeling of solitons induced by a density hump in a plasma multi-fluid

Baboolal, S. - In: Mathematics and Computers in Simulation (MATCOM) 55 (2001) 4, pp. 309-316

time evolution of such solitons is studied and is found to be similar to those obtained with previous simulation techniques …

Persistent link: https://www.econbiz.de/10010748564

Chiral effects on optical solitons

Torres-Silva, H.; Zamorano, M. - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 1, pp. 149-161

study the effects resulting from the combined action of chirality and non-linearity on optical solitons. The spatial … the numerical results show the chiral effects on solitons with circular and mixed polarization. …

Persistent link: https://www.econbiz.de/10010748684

Solitons and antisolitons on bounded surfaces

Ludu, A. - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 3, pp. 389-399

We generalize the one-dimensional KdV equation for an inviscid incompressible irrotational fluid layer with free surface, finite depth, and finite boundary conditions. We study the nonlinear dynamics of a fluid of arbitrary depth in a bounded domain. By introducing a special relation between the...

Persistent link: https://www.econbiz.de/10010749057

Extended Gram-type determinant solutions to the Kadomtsev–Petviashvili equation

Yu, Guo-Fu; Hu, Xing-Biao - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 1, pp. 184-191

In this paper, we would give a broad set of sufficient conditions of systems of linear partial differential equations which guarantee that the Grammian determinant solves the KP (Kadomtsev–Petviashvili) equation in the bilinear form. A systematic analysis of linear partial differential...

Persistent link: https://www.econbiz.de/10010749134

Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme

Sheng, Q.; Khaliq, A.Q. M.; Voss, D.A. - In: Mathematics and Computers in Simulation (MATCOM) 68 (2005) 4, pp. 355-373

numerical stability. Numerical demonstrations for colliding circular solitons are given. …

Persistent link: https://www.econbiz.de/10010749626

Propagation of sech2-type solitary waves in hierarchical KdV-type systems

Ilison, Lauri; Salupere, Andrus - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 11, pp. 3314-3327

A hierarchical Korteweg–de Vries-type evolution equation is applied for modelling wave propagation in dilatant granular materials. The model equation is integrated numerically under sech2-type initial conditions using the Fourier transform-based pseudospectral method. Numerical simulations are...

Persistent link: https://www.econbiz.de/10010749632

Nonlinear dispersion relations

Ludu, A.; Kevrekidis, P.G. - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 2, pp. 229-236

We examine how nonlinear dispersion relations (NLDR) can be used as a simple, universal algebraic tool to provide information for the localized, nonlinear solutions of PDE that model physical systems. Such scaling relations between width, amplitude and velocity are of great help for numerical...

Persistent link: https://www.econbiz.de/10010749768

Analysis of coupled oceanographic and acoustic soliton simulations in the Yellow Sea: a search for soliton-induced resonances

Chin-Bing, S.A.; Warn-Varnas, A.; King, D.B.; Lamb, K.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 62 (2003) 1, pp. 11-20

by solitary internal waves (solitons). Their hypothesis remains unsubstantiated due to a scarcity of oceanographic … measurements in this area. In this simulation study the non-hydrostatic, 2.5-dimensional Lamb model was used to generate solitons … lead to the formulation of internal bores and solitons. SAR observations of solitons near this region were used to select …

Persistent link: https://www.econbiz.de/10010750028

Two-scale numerical solution of the electromagnetic two-fluid plasma-Maxwell equations: Shock and soliton simulation

Baboolal, S.; Bharuthram, R. - In: Mathematics and Computers in Simulation (MATCOM) 76 (2007) 1, pp. 3-7

–463]. Allowing for wave propagation in one dimension, we illustrate the formation and evolution of magnetosonic shocks and solitons …

Persistent link: https://www.econbiz.de/10010750051