Propagation of Bright Solitons for KdV-Type Equations Involving Triplet Dispersion
摘要
In the present paper, a series of KdV-type equations with triplet dispersion, as mathematical models of waves on shallow water surfaces, are explored. Bright solitons of the governing equations involving triple-spatial dispersion, spatio-temporal dispersion, and dualtemporal-spatial dispersion are formally constructed using the Kudryashov method. The impact of triplet dispersion as well as the nonlinear parameter on the propagation of bright solitons is investigated in detail. Results reveal how the propagation of bright solitons can systematically be controlled.