Radial basis functions method for numerical solution of the modified equal width equation

Abstract

The numerical solution of the modified equal width equation is investigated by using meshless method based on collocation with the well-known radial basis functions. Single solitary wave motion, two solitary waves interaction and three solitary waves interaction are studied. Results of the meshless methods with different radial basis functions are presented.

Keywords:

• MEW equation
• solitary waves
• radial basis functions method

2000 AMS Subject Classifications :

• 35Q20
• 76B25
• 76M25