A variety of completely integrable Calogero–Bogoyavlenskii–Schiff equations with time-dependent coefficients

What is it about?

We develop a variety of new completely integrable Calogero--Bogoyavlenskii--Schiff equations with time-dependent coefficients. We use the Painlev\'{e} analysis to investigate the compatibility conditions for each model. We present multiple soliton solutions and multiple complex soliton solutions for these equations. The obtained results possess significant features more than the models with constant coefficients.

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