Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

10.1088/1751-8113/41/15/155204

Auxiliary systems for matrix nonisospectral equations, including coupled NLS
with external potential and KdV with variable coefficients, were introduced.
Explicit solutions of nonisospectral equations were constructed using the GBDT
version of the B\"acklund-Darboux transformation.

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