This current investigation consists of the numerical solutions Generalized Rosenau-KdV equation by using meshless kernel-based method lines, which is a truly method. The governing nonlinear partial differential but use lines leads to an ordinary equation. Thus, replaced efficiency used technique tested different examples. Numerical values error norms and physical invariants are compared with kn...

In this work, we prove a comparison result for general class of nonlinear dispersive unidirectional wave equations. The nature one-dimensional waves occurs because convolution integral in space. For two specific choices the kernel function, Benjamin–Bona–Mahony equation and Rosenau that are particularly suitable to model water elastic waves, respectively, members class. We first an energy estim...

Third-order dispersive evolution equations are widely adopted to model one-dimensional long waves and have extensive applications in fluid mechanics, plasma physics nonlinear optics. The typical representatives the KdV equation, Camassa–Holm equation Degasperis–Procesi equation. They share many common features such as complete integrability, Lax pairs bi-Hamiltonian structure. In this paper we ...