Construction and separability of nonlinear soliton integrable couplings
APPLIED MATHEMATICS AND COMPUTATION, cilt.219, sa.4, ss.1866-1873, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 219 Sayı: 4
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.amc.2012.08.028
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1866-1873
- Anahtar Kelimeler: Integrable equations, Soliton systems, Integrable couplings
- Dokuz Eylül Üniversitesi Adresli: Hayır
Özet
The paper is motivated by recent works of several authors, initiated by articles of Ma and Zhu [W. X. Ma, Z. N. Zhu, Constructing nonlinear discrete integrable Hamiltonian couplings, Comput. Math. Appl. 60 (2010) 2601] and Ma [W. X. Ma, Nonlinear continuous integrable Hamiltonian couplings, Appl. Math. Comput. 217 (2011) 7238], where new class of soliton systems, being nonlinear integrable couplings, was introduced. Here, we present a general construction of such class of systems and we develop the decoupling procedure, separating them into copies of underlying original equations. (C) 2012 Elsevier Inc. All rights reserved.