Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation

The variational iteration method for solving Nagumo telegraph equation

the variational iteration method for solving nagumo telegraph equation

New solutions for the modified generalized Degasperis-Procesi equation

Abstract. In this paper we show some new exact solutions for the generalized modified Degasperis−Procesi equation ( mDP equation ) ut − uxxt + (b + 1)u 2 ux = buxuxx + uuxxx.

A Conservative Discontinuous Galerkin Method for the Degasperis–procesi Equation

In this work, we design, analyze and test a conservative discontinuous Galerkin method for solving the Degasperis–Procesi equation. This model is integrable and admits possibly discontinuous solutions, and therefore suitable for modeling both short wave breaking and long wave propagation phenomena. The proposed numerical method is high order accurate, and preserves two invariants, mass and ener...

Cusp solitons of the Degasperis-Procesi equation

In this paper, we present cusp solitons for the Degasperis-Procesi (DP) equation under the inhomogeneous boundary condition lim|x|→∞ u= A, where A is a non-zero constant. Through mathematical analysis, a stationary cusp soliton is presented in an explicit form of u(x, t) = √ 1− e−2|x| ∈ W 1,1 loc , but / ∈ H1 loc, while most cusp solitons are expressed in an implicit form in the space ofW 1,1 l...