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Shen, Yuan; Tian, Bo; Zhou, Tian-Yu; Gao, Xiao-Tian

Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions. (English) Zbl 1508.35159

Chaos Solitons Fractals 164, Article ID 112460, 7 p. (2022).

Cited in 16 Documents

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems

Keywords:

nonlinear differential-difference hierarchy; Lax pair; conservation laws; \(N\)-fold Darboux transformation; explicit exact solutions
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Full Text: DOI

References:

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