流体和等离子体中非等谱变系数KdV方程的Wronskian解

Korteweg-de Vries (KdV)-type equations appear in the shallow waterwaves, ion-acoustic waves in plasmas, lattice dynamics and so on. Inthis paper, the Wronskian technique is applied to investigate anonisospectral variable-coefficient KdV equation in certainnonuniform media with the relaxation effect. Multi-soliton andmulti-positon/negaton solutions for such equation are constructedand verified corresponding to the different eigenvalues of theSchrodinger spectral problem. Based on the relevant magnitude ofthe wave numbers, the solitonic interaction, such as the quasielastic interaction, coherent structure and fission/fusion, areshown graphically.