Construction and separability of nonlinear soliton integrable couplings

Blaszak M., Szablikowski B. M., Silindir B.

APPLIED MATHEMATICS AND COMPUTATION, cilt.219, sa.4, ss.1866-1873, 2012 (SCI-Expanded) identifier identifier

  • 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, EQUATIONS, ALGEBRAS, SYSTEMS
  • 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.