The article proposes the three different types of envelope solitons: bright, dark and singular, to compound KdV-Burgers equation. The equation has been considered with variable coefficients and power law nonlinearity, which is the main interest of plasma physics. The ansatz approach is carried out to construct these solitons. The parameter regimes, for the existence of these solitons, are identified during the derivation of the solutions.
In this article, the bright, dark, and singular solitons are being constructed for nonlinear longitudinal wave equation with dispersion caused by transverse Poisson's effect in a magneto-electro-elastic circular rod. The solitary wave ansatz is used to carry out these solutions. The constraint conditions, for the existence of the soliton solutions, are also listed. This article provides a lot of encouragement for the researchers in this era.
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