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## Malfliet, Willy

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 Author ID: malfliet.willy Published as: Malfliet, W.; Malfliet, Willy
 Documents Indexed: 21 Publications since 1985
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#### Co-Authors

 8 single-authored 6 Khater, Ahmed H. 5 Callebaut, Dirk K. 4 Kamel, Eid S. 3 Ndayirinde, I. 2 Hereman, Willy A. 1 Abdul-Aziz, S. F. 1 Caenepeel, Stefaan 1 Rombouts, Bjorn 1 Seadawy, Aly R.
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#### Serials

 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 3 Journal of Physics A: Mathematical and General 3 Physica Scripta 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Physica D 1 Journal of the Physical Society of Japan 1 American Journal of Physics
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#### Fields

 19 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 968 times in 316 Documents Cited by Year
Solitary wave solutions of nonlinear wave equations. Zbl 1219.35246
Malfliet, W.
1992
The tanh method. I: Exact solutions of nonlinear evolution and wave equations. Zbl 0942.35034
Malfliet, Willy; Hereman, Willy
1996
The tanh method. II: Perturbation technique for conservative systems. Zbl 0942.35035
Malfliet, Willy; Hereman, Willy
1996
The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations. Zbl 1038.65102
Malfliet, W.
2004
The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations. Zbl 1002.35066
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Kamel, E. S.
2002
Approximate solution of the damped Burgers equation. Zbl 0795.35108
Malfliet, W.
1993
Nonlinear dispersive Rayleigh-Taylor instabilities in magnetohydrodynamic flows. Zbl 1123.76370
Khater, A. H.; Callebaut, D. K.; Malfliet, W.; Seadawy, A. R.
2001
Travelling wave solutions of some classes of nonlinear evolution equations in $$(1+1)$$ and higher dimensions. Zbl 1039.65071
Khater, A. H.; Malfliet, W.; Kamel, E. S.
2004
Travelling wave solutions of some classes of nonlinear evolution equations in $$(1+1)$$ and $$(2+1)$$ dimensions. Zbl 0997.35078
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Kamel, E. S.
2002
Internal structure of the two-soliton solution of the KdV equation. Zbl 0586.35081
Caenepeel, S.; Malfliet, W.
1985
Series solution of nonlinear coupled reaction-diffusion equations. Zbl 0793.35054
Malfliet, W.
1991
The tanh method: a tool for solving certain classes of nonlinear PDEs. Zbl 1125.65348
Malfliet, W.
2005
New special solutions of the ‘Brusselator’ reaction model. Zbl 0924.35184
Ndayirinde, I.; Malfliet, W.
1997
On the similarity solutions of the inhomogeneous nonlinear diffusion equation via symmetry method. Zbl 1094.76057
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Abdul-Aziz, S. F.
2004
Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models. Zbl 1005.76094
Khater, A. H.; Callebaut, D. K.; Malfliet, W.; Kamel, E. S.
2002
Dressed solitary waves in an elastic tube. Zbl 0955.74022
Malfliet, W.; Ndayirinde, I.
1998
Travelling-wave solutions of coupled nonlinear evolution equations. Zbl 1017.35047
Malfliet, W.
2003
The tanh method: a tool for solving certain classes of nonlinear PDEs. Zbl 1060.65644
Malfliet, W.
2004
Dressed shock waves in a nonlinear LC circuit. Zbl 0980.35157
Malfliet, Willy; Rombouts, Bjorn
2001
The tanh method: a tool for solving certain classes of nonlinear PDEs. Zbl 1125.65348
Malfliet, W.
2005
The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations. Zbl 1038.65102
Malfliet, W.
2004
Travelling wave solutions of some classes of nonlinear evolution equations in $$(1+1)$$ and higher dimensions. Zbl 1039.65071
Khater, A. H.; Malfliet, W.; Kamel, E. S.
2004
On the similarity solutions of the inhomogeneous nonlinear diffusion equation via symmetry method. Zbl 1094.76057
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Abdul-Aziz, S. F.
2004
The tanh method: a tool for solving certain classes of nonlinear PDEs. Zbl 1060.65644
Malfliet, W.
2004
Travelling-wave solutions of coupled nonlinear evolution equations. Zbl 1017.35047
Malfliet, W.
2003
The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations. Zbl 1002.35066
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Kamel, E. S.
2002
Travelling wave solutions of some classes of nonlinear evolution equations in $$(1+1)$$ and $$(2+1)$$ dimensions. Zbl 0997.35078
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Kamel, E. S.
2002
Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models. Zbl 1005.76094
Khater, A. H.; Callebaut, D. K.; Malfliet, W.; Kamel, E. S.
2002
Nonlinear dispersive Rayleigh-Taylor instabilities in magnetohydrodynamic flows. Zbl 1123.76370
Khater, A. H.; Callebaut, D. K.; Malfliet, W.; Seadawy, A. R.
2001
Dressed shock waves in a nonlinear LC circuit. Zbl 0980.35157
Malfliet, Willy; Rombouts, Bjorn
2001
Dressed solitary waves in an elastic tube. Zbl 0955.74022
Malfliet, W.; Ndayirinde, I.
1998
New special solutions of the ‘Brusselator’ reaction model. Zbl 0924.35184
Ndayirinde, I.; Malfliet, W.
1997
The tanh method. I: Exact solutions of nonlinear evolution and wave equations. Zbl 0942.35034
Malfliet, Willy; Hereman, Willy
1996
The tanh method. II: Perturbation technique for conservative systems. Zbl 0942.35035
Malfliet, Willy; Hereman, Willy
1996
Approximate solution of the damped Burgers equation. Zbl 0795.35108
Malfliet, W.
1993
Solitary wave solutions of nonlinear wave equations. Zbl 1219.35246
Malfliet, W.
1992
Series solution of nonlinear coupled reaction-diffusion equations. Zbl 0793.35054
Malfliet, W.
1991
Internal structure of the two-soliton solution of the KdV equation. Zbl 0586.35081
Caenepeel, S.; Malfliet, W.
1985
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#### Cited in 68 Serials

 103 Applied Mathematics and Computation 30 Communications in Nonlinear Science and Numerical Simulation 22 Chaos, Solitons and Fractals 13 Computers & Mathematics with Applications 10 International Journal of Computer Mathematics 9 Nonlinear Dynamics 8 Mathematical Methods in the Applied Sciences 8 Mathematical and Computer Modelling 7 International Journal of Applied and Computational Mathematics 6 Abstract and Applied Analysis 6 Advances in Difference Equations 5 Mathematical Problems in Engineering 4 Astrophysics and Space Science 4 Journal of Computational and Applied Mathematics 4 Mathematics and Computers in Simulation 4 Numerical Methods for Partial Differential Equations 4 Journal of the Egyptian Mathematical Society 3 Applied Mathematics Letters 3 Regular and Chaotic Dynamics 3 Advances in Mathematical Physics 2 Journal of Mathematical Chemistry 2 Chaos 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Applied Mathematics 2 International Journal of Geometric Methods in Modern Physics 2 Waves in Random and Complex Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Communications in Theoretical Physics 2 ISRN Applied Mathematics 2 Mathematical Sciences 1 International Journal of Modern Physics B 1 Computers and Fluids 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Wave Motion 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Physics of Fluids 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Arab Journal of Mathematical Sciences 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Journal of Applied Mechanics and Technical Physics 1 Discrete Dynamics in Nature and Society 1 International Journal of Modern Physics C 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 International Journal of Computational Methods 1 Boundary Value Problems 1 Journal of Shanghai Jiaotong University (Science) 1 Asian-European Journal of Mathematics 1 Symmetry 1 Numerical Algebra, Control and Optimization 1 ISRN Computational Mathematics 1 Computational Methods for Differential Equations 1 Cogent Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 26 Fields

 278 Partial differential equations (35-XX) 81 Numerical analysis (65-XX) 48 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 19 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 10 Computer science (68-XX) 7 Optics, electromagnetic theory (78-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of deformable solids (74-XX) 5 Functions of a complex variable (30-XX) 5 Relativity and gravitational theory (83-XX) 4 Special functions (33-XX) 3 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Probability theory and stochastic processes (60-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)