ERWIN is a parallel high-order accurate solver for solution of systems of partial and ordinary nonlinear differential equations in two and three dimensions. The module structure and MPI based parallelization make ERWIN a suitable tool for solution of various problems rising in modern physical and engineering applications. ERWIN is written in Fortran 90 and its visualization engine is written in Matlab. The project could be converted into the commercial software package

Following examples show modeling of solitary waves and vortices with compact support in Nonlinear Schrodinger equation (NLS):

112v2

and Complex Klein-Gordon equation (also known as Q-balls) in 2D:

t31v3

and in 3D:

3dv2


Website with mathematics and animations: http://www.math.tau.ac.il/~compact

Publications:

E. Kashdan, “ERWIN - high-order accurate parallel solver for multidimensional systems of time-dependent nonlinear PDEs with visualization engine”, Technical Report, School of Mathematical Sciences, Tel Aviv University, June 2009

P. Rosenau and E. Kashdan, “Emergence of compact structures in a Klein-Gordon Model”, Physical Review Letters, 104, 034101, 2010.

P. Rosenau and E. Kashdan, “On multi-nodal Q-balls”, submitted, 2009.

P. Rosenau and E. Kashdan, “On compactification of nonlinear patterns and waves”, Physical Review Letters, 101, 264101, 2008.

Support: ISF, Absorption Ministry and HPC-Europa2 grants