Family of KdV-type Equations

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Abstract

In this chapter we will study a family of KdV-type equations. These equations. These equations appear in many scientific fields as will be examined for each model. This family of KdV-type equations contains the following forms:(i)The complex modified KdV equation [16] (CMKdV) is of the form (Formula presented.) where w is a complex valued function of the spatial coordinate x and the time t, and αis a real constant.

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Wazwaz, A. M. (2009). Family of KdV-type Equations. In Nonlinear Physical Science (pp. 605–637). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-642-00251-9_15

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