American Journal of Applied Mathematics

Special Issue

Analytical Approaches to Nonlinear Science and Applications

  • Submission Deadline: May 20, 2020
  • Status: Submission Closed
  • Lead Guest Editor: Samah Mabrouk
About This Special Issue
Studying of nonlinear differential equations especially in higher and fractional dimensions, plays an important role in modeling most of the scientific and engineering applications, such as propagation of shallow water waves, optical fibers, condensed matter, electromagnetic, plasma, ecology and fluid mechanics. Investigation of the analytical solutions for these equations is essential for the proper understanding of features of many phenomena. The present special issue of mathematics focuses on highlighting recent trends and developments in the analytical investigation of nonlinear applications governed by nonlinear differential equations.
Aims and Scope:
  1. Analytical methods
  2. Solitary waves
  3. Traveling wave solution
  4. Fractional differential equations
  5. Nonlinear applications
  6. Nonlinear evolution equations
Lead Guest Editor
  • Samah Mabrouk

    Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Zagazig, Egypt

Guest Editors
  • Wen-Xiu Ma

    Department of Mathematics and Statistics, University of South Florida, South Florida, United States

  • Francisco Gómez-Aguilar

    CONACyT-Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, México, Mexico

  • Enas Yousri

    Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Zagazig, Egypt

  • Rahma Sadat

    Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Zagazig, Egypt

  • Rasha Saleh

    Assistant Professor of Mathematics. Mathematics and Physics Dept. Faculty of Engineering. Zagazig University, Zagazig, Egypt

  • Mohamed Ali

    Faculty of Engineering, Benha University, Benha, Egypt

Published Articles
  • Similarity Solution of (2+1)-Dimensional Calogero-Bogoyavlenskii-Schiff Equation Lax Pair

    Shaimaa Salem , Magda Kassem , Samah Mohamed Mabrouk

    Issue: Volume 7, Issue 5, October 2019
    Pages: 137-144
    Received: Sep. 10, 2019
    Accepted: Sep. 23, 2019
    Published: Oct. 14, 2019
    DOI: 10.11648/j.ajam.20190705.11
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    Abstract: In this paper, we discussed and studied the solutions of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation. The Calogero-Bogoyavlenskii-Schiff equation describes the propagation of Riemann waves along the y-axis, with long wave propagating along the x-axis. Lax pair and Bäcklund transformation of the Calogero-Bogoyavlenskii-Schiff... Show More