Abstract. The ‘n-component Eckhaus equation’, iψt + Aψxx + (ψ,Cψ)xAψ + 2(ψ,Cψ)Aψx + [(ψx,CAψ) − (ψ,CAψx)]ψ +(ψ,Cψ)2Aψ = 0 is C-integrable. Here the dependent variable ψ ≡ ψ(x, t) is an n-vector, and A and C are two constant (n × n)-matrices restricted by the condition that both C and CA be Hermitian. Some special cases, and some explicit solutions, are displayed.
The Multicomponent Eckhaus equation
DE LILLO, Silvana
1997
Abstract
Abstract. The ‘n-component Eckhaus equation’, iψt + Aψxx + (ψ,Cψ)xAψ + 2(ψ,Cψ)Aψx + [(ψx,CAψ) − (ψ,CAψx)]ψ +(ψ,Cψ)2Aψ = 0 is C-integrable. Here the dependent variable ψ ≡ ψ(x, t) is an n-vector, and A and C are two constant (n × n)-matrices restricted by the condition that both C and CA be Hermitian. Some special cases, and some explicit solutions, are displayed.File in questo prodotto:
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