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Computers and Mathematics with Applications, ISSN 0898-1221, 01/2017, Volume 73, Issue 2, pp. 203 - 210
In this paper, a family of local fractional two-dimensional Burgers-type equations (2DBEs) is investigated. The local fractional Riccati differential equation... 
Riccati differential equation method | Burgers equation | Travelling wave solution | Local fractional derivatives | VARIATIONAL ITERATION METHOD | MATHEMATICS, APPLIED | APPROXIMATE | Mineral industry | Rock mechanics | Mining industry | Differential equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 07/2016, Volume 285, pp. 141 - 148
This paper applies new conformable fractional derivative for converting fractional coupled nonlinear Schrodinger equations into the ordinary differential... 
Conformable fractional derivative | Kudryashov method | Schrodinger equations | MATHEMATICS, APPLIED | BIREFRINGENT FIBERS | OPTICAL SOLITONS | Differential equations | Mathematical analysis | Traveling waves | Nonlinearity | Joining | Mathematical models | Schroedinger equation | Derivatives
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 03/2013, Volume 57, Issue 5-6, pp. 1371 - 1379
Journal Article
JOURNAL OF FLUID MECHANICS, ISSN 0022-1120, 04/2019, Volume 865, pp. 414 - 439
We consider a potential flow model of axisymmetric waves travelling on a ferrofluid jet. The ferrofluid coats a copper wire, through which an electric current... 
MECHANICS | SOLITONS | solitary waves | CAPILLARY SOLITARY WAVES | PHYSICS, FLUIDS & PLASMAS | GRAVITY | Axisymmetric | Solution space | Stability | Fluid | Two dimensional models | Traveling waves | Electric wire | Waves | Electric currents | Potential flow | Axisymmetric flow | Numerical analysis | Capillary waves | Solutions | Ferrofluids | Instability | Mathematical models | Copper | Magnetic fields | Solitary waves | Gravity
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2004, Volume 154, Issue 3, pp. 713 - 723
In this work we employ the tanh method for traveling wave solutions of nonlinear equations. The study is extended to equations that do not have tanh polynomial... 
Generalized KdV equation | Generalized Fisher's equation | Traveling wave solutions | Tanh method | generalized KdV equation | MATHEMATICS, APPLIED | traveling wave solutions | EVOLUTION | generalized Fisher's equation
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2019, Volume 267, Issue 2, pp. 1467 - 1509
In this work we study the travelling wave solutions for a spatially distributed system of equations modelling the evolutionary epidemiology of plant-pathogen... 
Non-local interactions | Evolution | Plant pathology | Travelling wave solutions | Reaction-diffusion system | Minimal wave speed | Analysis of PDEs | Mathematics
Journal Article
JOURNAL OF DIFFERENTIAL EQUATIONS, ISSN 0022-0396, 07/2019, Volume 267, Issue 2, pp. 1467 - 1509
In this work we study the travelling wave solutions for a spatially distributed system of equations modelling the evolutionary epidemiology of plant-pathogen... 
EXISTENCE | Plant pathology | MODEL | ASYMPTOTIC-BEHAVIOR | UNIQUENESS | DISPERSAL | SPACE | MATHEMATICS | Travelling wave solutions | Reaction-diffusion system | Minimal wave speed | MUTATION | Non-local interactions | Evolution | SELECTION | EQUATION
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 9/2019, Volume 97, Issue 4, pp. 2413 - 2423
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 09/2016, Volume 72, Issue 5, pp. 1225 - 1229
For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and necessary criterion for the existence of linear superposition... 
Hirota bilinear equation | Resonant solution | Linear superposition principle | Multiple wave solution | MATHEMATICS, APPLIED | INTEGRABILITY | SOLITONS | LAW | LINEAR-SUBSPACES | KADOMTSEV-PETVIASHVILI EQUATION | Traveling waves | Mathematical models | Polynomials | Criteria | Mathematical analysis
Journal Article
The European Physical Journal Plus, ISSN 2190-5444, 1/2017, Volume 132, Issue 1, pp. 1 - 13
Journal Article
Complexity, ISSN 1076-2787, 11/2016, Volume 21, Issue S2, pp. 151 - 155
This article presents the general case‐study of our previous works regarding generalized Boussinesq equations [17, 18, 19], that focus on application of... 
traveling wave solutions | soliton | (G′/G)‐expansion method | coupled Boussinesq equations | (G′/G)-expansion method | (G '/G)-expansion method | SYSTEM | (G'/G)-EXPANSION METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | NONLINEAR EVOLUTION-EQUATIONS | VARIANT | Complex systems
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 02/2019, Volume 33, Issue 6, p. 1950059
Journal Article
Physics of Plasmas, ISSN 1070-664X, 10/2017, Volume 24, Issue 10
In this paper, we investigate the traveling soliton and the periodic wave solutions of the nonlinear Schrödinger equation (NLSE) with generalized nonlinear... 
Duffing oscillators | Gravitational effects | Gravitational fields | Cnoidal waves | Two dimensional models | Traveling waves | Mathematical models | Schroedinger equation | Hamiltonian functions
Journal Article