arXiv Open Access 2009

Soliton Solutions for ABS Lattice Equations II: Casoratians and Bilinearization

Jarmo Hietarinta Da-jun Zhang

Lihat Sumber

Abstrak

In Part I [arXiv:0902.4873 [nlin.SI]] soliton solutions to the ABS list of multi-dimensionally consistent difference equations (except Q4) were derived using connection between the Q3 equation and the NQC equations, and then by reductions. In that work central role was played by a Cauchy matrix. In this work we use a different approach, we derive the $N$-soliton solutions following Hirota's direct and constructive method. This leads to Casoratians and bilinear difference equations. We give here details for the H-series of equations and for Q1; the results for Q3 have been given earlier.

Topik & Kata Kunci

nlin.SI

Penulis (2)

Jarmo Hietarinta

Da-jun Zhang

Format Sitasi

APA MLA BibTeX

Hietarinta, J., Zhang, D. (2009). Soliton Solutions for ABS Lattice Equations II: Casoratians and Bilinearization. https://arxiv.org/abs/0903.1717

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓