TY - JOUR
A2 - Rush Kumar, B.
AU - Zhang, Lijun
AU - Khalique, Chaudry Masood
PY - 2015
DA - 2015/09/16
TI - Exact Solitary Wave and Periodic Wave Solutions of a Class of Higher-Order Nonlinear Wave Equations
SP - 548606
VL - 2015
AB - We study the exact traveling wave solutions of a general fifth-order nonlinear wave equation and a generalized sixth-order KdV equation. We find the solvable lower-order subequations of a general related fourth-order ordinary differential equation involving only even order derivatives and polynomial functions of the dependent variable. It is shown that the exact solitary wave and periodic wave solutions of some high-order nonlinear wave equations can be obtained easily by using this algorithm. As examples, we derive some solitary wave and periodic wave solutions of the Lax equation, the Ito equation, and a general sixth-order KdV equation.
SN - 1024-123X
UR - https://doi.org/10.1155/2015/548606
DO - 10.1155/2015/548606
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -