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Journal of Porous Media

Published 12 issues per year

ISSN Print: 1091-028X

ISSN Online: 1934-0508

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 2.3 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.7 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 1 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00067 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.47 SJR: 0.282 SNIP: 0.632 CiteScore™:: 3 H-Index: 42

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

Volume 19, Issue 11, 2016, pp. 975-991
DOI: 10.1615/JPorMedia.v19.i11.40
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Jalil Manafian
Department of Applied Mathematics, Faculty of Mathematics Science, University of Tabriz, Tabriz, Iran
Mehrdad Lakestani
Department of Applied Mathematics, Faculty of Mathematics Science, University of Tabriz, Tabriz, Iran
Ahmet Bekir
Eskisehir Osmangazi University, Department of Mathematics − Computer, 26480, Eskisehir- Turkey

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 (Φ(ξ) / 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.

KEY WORDS: the tan (Φ(ξ)/2)-expansion method, infiltration equation, traveling wave
CITED BY

  1. Foroutan Mohammadreza, Zamanpour Isa, Manafian Jalil, Applications of IBSOM and ETEM for solving the nonlinear chains of atoms with long-range interactions, The European Physical Journal Plus, 132, 10, 2017. Crossref

  2. Manafian Jalil, Jalali Jalal, Ranjbaran Arash, Applications of IBSOM and ETEM for solving a discrete electrical lattice, Optical and Quantum Electronics, 49, 12, 2017. Crossref

  3. Teymuri Sindi Cevat, Manafian Jalil, Wave solutions for variants of the KdV-Burger and theK(n,n)-Burger equations by the generalized G′/G-expansion method, Mathematical Methods in the Applied Sciences, 40, 12, 2017. Crossref

  4. Zinati Reza Farshbaf, Manafian Jalil, Applications of He's semi-inverse method, ITEM and GGM to the Davey-Stewartson equation, The European Physical Journal Plus, 132, 4, 2017. Crossref

  5. Sindi Cevat Teymuri, Manafian Jalil, Soliton solutions of the quantum Zakharov-Kuznetsov equation which arises in quantum magneto-plasmas, The European Physical Journal Plus, 132, 2, 2017. Crossref

  6. Lakestani Mehrdad, Manafian Jalil, Analytical treatment of nonlinear conformable time-fractional Boussinesq equations by three integration methods, Optical and Quantum Electronics, 50, 1, 2018. Crossref

  7. Manafian Jalil, Jalali Jalal, Alizadehdiz Alireza, Some new analytical solutions of the variant Boussinesq equations, Optical and Quantum Electronics, 50, 2, 2018. Crossref

  8. Manafian Jalil, Wang Peiguang, Optical solitons in a power-law media with fourth-order dispersion by three integration methods, Cogent Mathematics & Statistics, 5, 1, 2018. Crossref

  9. Seadawy Aly R., Manafian Jalil, New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod, Results in Physics, 8, 2018. Crossref

  10. Lakestani Mehrdad, Manafian Jalil, Analytical treatments of the space–time fractional coupled nonlinear Schrödinger equations, Optical and Quantum Electronics, 50, 11, 2018. Crossref

  11. Zayed Elsayed M. E., Al-Nowehy Abdul-Ghani, Elshater Mona E. M., New $\phi^{6}$ ϕ 6 -model expansion method and its applications to the resonant nonlinear Schrödinger equation with parabolic law nonlinearity, The European Physical Journal Plus, 133, 10, 2018. Crossref

  12. Manafian Jalil, Zamanpour Isa, Ranjbaran Arash, On some new analytical solutions for new coupled Konno–Oono equation by the external trial equation method, Journal of Physics Communications, 2, 1, 2018. Crossref

  13. Manafian Jalil, Lakestani Mehrdad, New exact solutions for a discrete electrical lattice using the analytical methods, The European Physical Journal Plus, 133, 3, 2018. Crossref

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