In this article, we apply the improved (G′/G)-expansion method to construct some new exact traveling wave solutions including soliton and periodic solutions of the combined KdV-MKdV equation involving parameters. In this method, G′′+λG′+μG = 0 together with ( ) ( ) j m

The propagation of small amplitude stationary profile nonlinear solitary waves in a pair plasma is investigated by employing the reductive perturbation technique via well-known Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. This study tends to derive exact form solutions their characteristics. Two distinct pair-ion species opposite polarity same mass are considered addition massive ...

A reciprocal transformation is introduced for a three-component Camassa-Holm type equation and it showed that the transformed system reduction of first negative flow in generalized MKdV hierarchy.

Two consistency conditions for partition functions established by Akemann and Dam-gaard in their studies of the fermionic mass dependence of the QCD partition function at low energy (a la Leutwiller-Smilga-Verbaarschot) are interpreted in terms of integrable hierarchies. Their algebraic relation is shown to be a consequence of Wick's theorem for 2d fermionic correlators (Hirota identities) in t...

N-order solutions to the modified Korteweg–de Vries (mKdV) equation are given in terms of a quotient two wronskians order N depending on 2N real parameters. When one these parameters goes 0, we succeed get for each positive integer N, rational as polynomials x and t We construct explicit expressions orders N=1 until N=6.