APPLICATION OF A NEW ANALYTICAL METHOD FOR THE RICHARDS' EQUATION, BASED ON THE BROOKS AND COREY MODEL

Manafian J., Lakestani M., Bekir A.

JOURNAL OF POROUS MEDIA, vol.19, no.11, pp.975-991, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 11
  • Publication Date: 2016
  • Journal Name: JOURNAL OF POROUS MEDIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.975-991
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

This paper is concerned with the traveling wave solutions and analytical treatment of the infiltration equation. Based on the new technique, namely, the tan (Phi(xi)/2)-expansion method, the solution procedure of the nonlinear infiltration equation is investigated. We obtained the exact solutions for the aforementioned nonlinear infiltration equation. These solutions contain four types of hyperbolic function, a trigonometric function, and exponential and rational solutions. Recently this method was developed for searching exact traveling wave solutions of nonlinear partial differential equations. It is shown that this method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.