The two-mode Korteweg?deVries (TKdV) equation is used as a model to describe the wave propagation in one space dimension as a weakly nonlinear and weakly dispersive system. Theoretical and numerical investigations have been performed to search for multi-soliton solutions. A spectral collocation scheme for the equation is developed to obtain numerical soliton solutions. In the theoretical approach, the Lagrange density and some conservation laws for the equation are derived. In addition, the Hamiltonian structure presented here helps to identify the partial integrability of the equation.
展开▼
