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In this paper, with the help of symbolic computation, three types of rational solutions for the ()-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation are derived. By means of the truncated Painleve expansion, we show that the ()-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation can be written as a trilinear-linear equation, from which we get explicit representation for rational solutions of the ()-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation.

advances in mathematical physics

Rational Solutions for the (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-Dimensional Modified KdV-CBS Equation

Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation