Construction and separability of nonlinear soliton integrable couplings

Details Construction and separability of nonlinear soliton integrable couplings Construction and separability of nonlinear soliton integrable couplings

2012-02-13

arxiv.org/abs/1202.2682v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

letter, 10 pages

Scientific paper

A very natural construction of integrable extensions of soliton systems is presented. The extension is made on the level of evolution equations by a modification of the algebra of dynamical fields. The paper is motivated by recent works of Wen-Xiu Ma et al. (Comp. Math. Appl. 60 (2010) 2601, Appl. Math. Comp. 217 (2011) 7238), where new class of soliton systems, being nonlinear integrable couplings, was introduced. The general form of solutions of the considered class of coupled systems is described. Moreover, the decoupling procedure is derived, which is also applicable to several other coupling systems from the literature.

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