Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08)

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