The soliton solutions of third-order and fourth-order generalized nonlinear Korteweg-de Vries
equations with initial and boundary conditions are calculated by using three different meshless methods based on a global collocation with radial basis functions (RBFs): the Global RBFs method, the Differential Quadrature method (DQ-RBFs) and the method of lines based on RBFs (MOL-RBFs). Some test problems are solved and numerical results show the efficiency of these techniques. Conservation laws of the motion are evaluated to determine the conservation properties of the methods.