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1

The variational iteration method for solving linear and nonlinear systems of PDEs

Abdul-Majid Wazwaz

Journal:

Computers & Mathematics with Applications

Year:

2007

Language:

english

File:

PDF, 180 KB

english, 2007

2

The Hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 199 KB

english, 2008

3

[Nonlinear Physical Science] Partial Differential Equations and Solitary Waves Theory || Numerical Applications and Padé Approximants

Wazwaz, Abdul-Majid

Year:

2009

Language:

english

File:

PDF, 293 KB

english, 2009

4

Exact travelling wave solutions to seventh-order and ninth-order KdV-like equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 163 KB

english, 2006

5

An analytic study of Fisher's equation by using Adomian decomposition method

Abdul-Majid Wazwaz, Alice Gorguis

Journal:

Applied Mathematics and Computation

Year:

2004

Language:

english

File:

PDF, 211 KB

english, 2004

6

The tanh–coth and the sine–cosine methods for kinks, solitons, and periodic solutions for the Pochhammer–Chree equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 152 KB

english, 2008

7

Adomian decomposition method for a reliable treatment of the Bratu-type equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2005

Language:

english

File:

PDF, 237 KB

english, 2005

8

New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations

Abdul-Majid Wazwaz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2008

Language:

english

File:

PDF, 145 KB

english, 2008

9

A comparison between Adomian decomposition method and Taylor series method in the series solutions

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

1998

Language:

english

File:

PDF, 311 KB

english, 1998

10

A new algorithm for calculating adomian polynomials for nonlinear operators

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2000

Language:

english

File:

PDF, 215 KB

english, 2000

11

Multiple soliton solutions for (2 + 1)-dimensional Sawada–Kotera and Caudrey–Dodd–Gibbon equations

Abdul-Majid Wazwaz

Journal:

Mathematical Methods in the Applied Sciences

Year:

2011

Language:

english

File:

PDF, 118 KB

english, 2011

12

New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 151 KB

english, 2006

13

The regularization method for Fredholm integral equations of the first kind

Abdul-Majid Wazwaz

Journal:

Computers & Mathematics with Applications

Year:

2011

Language:

english

File:

PDF, 206 KB

english, 2011

14

The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations

Wazwaz, Abdul-Majid

Journal:

International Journal of Computer Mathematics

Year:

2010

Language:

english

File:

PDF, 95 KB

english, 2010

15

The tanh method and the sine–cosine method for solving the KP-MEW equation

Wazwaz, Abdul-Majid

Journal:

International Journal of Computer Mathematics

Year:

2005

Language:

english

File:

PDF, 118 KB

english, 2005

16

Travelling wave solutions of generalized forms of Burgers, Burgers–KdV and Burgers–Huxley equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2005

Language:

english

File:

PDF, 162 KB

english, 2005

17

The variational iteration method for analytic treatment for linear and nonlinear ODEs

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 236 KB

english, 2009

18

A comparison between the variational iteration method and Adomian decomposition method

Abdul-Majid Wazwaz

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 139 KB

english, 2007

19

Exact and explicit travelling wave solutions for the nonlinear Drinfeld–Sokolov system

Abdul-Majid Wazwaz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2006

Language:

english

File:

PDF, 177 KB

english, 2006

20

New travelling wave solutions to the Boussinesq and the Klein–Gordon equations

Abdul-Majid Wazwaz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2008

Language:

english

File:

PDF, 164 KB

english, 2008

21

New solitary wave solutions to the modified Kawahara equation

Abdul-Majid Wazwaz

Journal:

Physics Letters A

Year:

2007

Language:

english

File:

PDF, 127 KB

english, 2007

22

A reliable modification of Adomian decomposition method

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

1999

Language:

english

File:

PDF, 79 KB

english, 1999

23

Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin–Bona–Mahony equation

Abdul-Majid Wazwaz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2005

Language:

english

File:

PDF, 397 KB

english, 2005

24

New solitons and kink solutions for the Gardner equation

Abdul-Majid Wazwaz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2007

Language:

english

File:

PDF, 161 KB

english, 2007

25

A modified third order Runge-Kutta method

Abdul-Majid Wazwaz

Journal:

Applied Mathematics Letters

Year:

1990

Language:

english

File:

PDF, 167 KB

english, 1990

26

The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 189 KB

english, 2007

27

New solitary wave solutions to the modified forms of Degasperis–Procesi and Camassa–Holm equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 169 KB

english, 2007

28

Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota’s method, tanh–coth method and Exp-function method

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 178 KB

english, 2008

29

The Cole–Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld–Sokolov–Satsuma–Hirota equation

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 186 KB

english, 2009

30

The combined Laplace transform–Adomian decomposition method for handling nonlinear Volterra integro–differential equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 159 KB

english, 2010

31

Variational iteration method—Reality, potential, and challenges

Lan Xu, Ji-Huan He, Abdul-Majid Wazwaz

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 499 KB

english, 2007

32

The variational iteration method: Reliable, efficient, and promising

Ji-Huan He, Abdul-Majid Wazwaz, Lan Xu

Journal:

Computers & Mathematics with Applications

Year:

2007

Language:

english

File:

PDF, 100 KB

english, 2007

33

The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models

Abdul-Majid Wazwaz

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 193 KB

english, 2011

34

A new algorithm for solving differential equations of Lane–Emden type

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2001

Language:

english

File:

PDF, 158 KB

english, 2001

35

Linear and Nonlinear Integral Equations || Introductory Concepts of Integral Equations

Wazwaz, Abdul-Majid

Year:

2011

Language:

english

File:

PDF, 391 KB

english, 2011

36

Adomian decomposition method for solving the Volterra integral form of the Lane–Emden equations with initial values and boundary conditions

Wazwaz, Abdul-Majid, Rach, Randolph, Duan, Jun-Sheng

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 574 KB

english, 2013

37

[Nonlinear Physical Science] Partial Differential Equations and Solitary Waves Theory || One Dimensional Wave Equation

Wazwaz, Abdul-Majid

Year:

2009

Language:

english

File:

PDF, 317 KB

english, 2009

38

A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method

Wazwaz, Abdul-Majid, Rach, Randolph, Duan, Jun-Sheng

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 242 KB

english, 2014

39

The impact of Islamic banking on the cost efficiency and productivity change of Malaysian commercial banks

Abdul-Majid, Mariani, Saal, David S., Battisti, Giuliana

Journal:

Applied Economics

Year:

2011

Language:

english

File:

PDF, 226 KB

english, 2011

40

A new fifth-order nonlinear integrable equation: multiple soliton solutions

Wazwaz, Abdul-Majid

Journal:

Physica Scripta

Year:

2011

Language:

english

File:

PDF, 113 KB

english, 2011

41

The variational iteration method for solving systems of third-order Emden-Fowler type equations

Wazwaz, Abdul-Majid

Journal:

Journal of Mathematical Chemistry

Year:

2017

Language:

english

File:

PDF, 456 KB

english, 2017

42

Reviews

Haq, Kaiser, Firth, David, Chakraborty, Debadrita, Abdul-Majid, Ruksana, Gooderham, W B, Schwarz, Bill, Jardim, Keith, King, Stephanie, Sadikali, Tamim, Kriza, Elisa, Simpson, Hyacinth

Journal:

Year:

2017

Language:

english

File:

PDF, 2.26 MB

english, 2017

43

Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations

Wazwaz, Abdul-Majid

Journal:

Applied Mathematics Letters

Year:

2018

Language:

english

File:

PDF, 352 KB

english, 2018

44

A variety of optical solitons for nonlinear Schrödinger equation with detuning term by the variational iteration method

Wazwaz, Abdul-Majid

Journal:

Year:

2019

Language:

english

File:

PDF, 244 KB

english, 2019

45

New kinds of solitons and periodic solutions to the generalized KdV equation

Abdul-Majid Wazwaz

Journal:

Numerical Methods for Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 84 KB

english, 2007

46

Adomian decomposition method for a reliable treatment of the Emden–Fowler equation

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2005

Language:

english

File:

PDF, 237 KB

english, 2005

47

The sine–cosine and the tanh methods: Reliable tools for analytic treatment of nonlinear dispersive equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 156 KB

english, 2006

48

Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2006

Language:

english

File:

PDF, 163 KB

english, 2006

49

The Hirota’s bilinear method and the tanh–coth method for multiple-soliton solutions of the Sawada–Kotera–Kadomtsev–Petviashvili equation

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 127 KB

english, 2008

50

Multiple-soliton solutions for the Calogero–Bogoyavlenskii–Schiff, Jimbo–Miwa and YTSF equations

Abdul-Majid Wazwaz

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 167 KB

english, 2008