Modified simple equation method for nonlinear evolution equations

By Anwar Ja'afar Mohamad Jawad, Marko D. Petkovic, Anjan Biswas. Applied Mathematics and Computation, 2010

510 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1e1d1d4c1534943c17c706a2c21f14532ee7b8c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Mehrdad Lakestani
2. Kamruzzaman Khan
3. M. Akbar
4. Abdul-Ghani A. A. H. Al-Nowehy
5. Elsayed M. E. Zayed
6. Jalil Manafian
7. Mehdi Dehghan
8. Aly R. Seadawy

In Numerical Analysis

1. Mehrdad Lakestani
2. Abdul-Ghani A. A. H. Al-Nowehy
3. M. Akbar
4. Elsayed M. E. Zayed
5. Kamruzzaman Khan
6. Jalil Manafian
7. Mehdi Dehghan

In Statistical and Nonlinear Physics

1. M. Akbar
2. Kamruzzaman Khan
3. Mehrdad Lakestani
4. Jalil Manafian
5. Abdul-Ghani A. A. H. Al-Nowehy
6. Elsayed M. E. Zayed
7. Aly R. Seadawy
8. Mehdi Dehghan

Citations in the corpus

• The exp(-Φ(ξ))-expansion method for finding travelling wave solutions of Vakhnenko-Parkes equation (2014, methodology): “As a result, there has been a great amount of activity aiming to find methods for solving NLEEs, such as: the modified simple equation method (Jawad et al., 2010; Khan and Akbar, 2013b, Khan et al., 2013), the Tanh–Coth function method (Lee and Sakthivel, 2011a; Lee and Sakthivel, 2012), the Kudryas”
• Exact and solitary wave solutions for the Tzitzeica-Dodd-Bullough and the modified KdV-Zakharov-Kuznetsov equations using the modified simple equation method (2013, methodology): “The main steps of the MSE method [21–23] are as follows:”
• New Improvement of the Expansion Methods for Solving the Generalized Fitzhugh-Nagumo Equation with Time-Dependent Coefficients (2015, methodology): “In [22, 26], the standard form of the FitzhughNagumo equation is given: u t − u xx + u (1 − u) (ρ − u) = 0, (1) where 0 < ρ < 1 and u(x, t) is of the unknown function depending on the temporal variable t and the spatial variable x.”
• New extended auxiliary equation method for finding many new Jacobi elliptic function solutions of three nonlinear Schrödinger equations (2017, methodology): “A variety of powerful methods, such as the inverse scattering method,[1] the Hirota bilinear transform method,[2] the truncated Painlevé expansion method,[3,4] Bäcklund transformation,[5,6] the exp-function method,[7–11] the Jacobi elliptic function expansion method,[12–15] the ( G′/G ) -expansionme”