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Fractals, ISSN 0218-348X, 08/2017, Volume 25, Issue 4, p. 1740006
The new Boussinesq-type model in a fractal domain is derived based on the formulation of the local fractional derivative. The novel traveling wave transform of... 
Local Fractional Derivative | Fractals | Exact Traveling-Wave Solution | Local Fractional Boussinesq Equation | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | CALCULUS | MULTIDISCIPLINARY SCIENCES | DERIVATIVES
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2017, Volume 73, Issue 2, pp. 203 - 210
Journal Article
Physics of Plasmas, ISSN 1070-664X, 09/2017, Volume 24, Issue 9, p. 92117
The traveling solitary and cnoidal wave solutions of the one dimensional driven nonlinear Schrödinger equation with a generalized form of nonlinearity are... 
WATER-WAVES | PARAMETRICALLY DRIVEN | CNOIDAL WAVES | SOLITON-SOLUTIONS | ALFVEN WAVES | PLASMA | PHYSICS, FLUIDS & PLASMAS | STABILITY | MODULATIONAL INSTABILITY | ACOUSTIC-WAVES | GENERATION | Duffing oscillators | Computational fluid dynamics | Modulation | Cnoidal waves | Traveling waves | Pseudopotentials | Nonlinearity | Schroedinger equation | Plasmas
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 08/2016, Volume 26, Issue 8, pp. 084312 - 084312
This paper investigates the Korteweg-de Vries equation within the scope of the local fractional derivative formulation. The exact traveling wave solutions of... 
PHYSICS, MATHEMATICAL | MATHEMATICS, APPLIED | Traveling waves | Shallow water | Fractals
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
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
Mathematical and Computer Modelling, ISSN 0895-7177, 03/2013, Volume 57, Issue 5-6, pp. 1371 - 1379
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
Optics and Laser Technology, ISSN 0030-3992, 2012, Volume 44, Issue 1, pp. 263 - 268
This paper analyses the dynamics of soliton propagation through optical fibers with non-Kerr law nonlinearities. The governing nonlinear Schrödinger equation... 
Kerr law | Integrability | Solitons | PHYSICS, APPLIED | NONLINEARITY | OPTICS | EQUATION | BRIGHT | Laws, regulations and rules | Universities and colleges | Law | Perturbation methods | Media | Nonlinearity | Traveling waves | Mathematical models | Schroedinger equation
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 04/2019, Volume 2096, Issue 1
In this paper, new travelling wave solutions for some nonlinear partial differential equations based on cosine hyperbolic - sine hyperbolic (cosh-sinh) method... 
Traveling waves | Nonlinear equations | Partial differential equations | Trigonometric functions | Mathematical analysis | Nonlinear differential equations
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
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
Journal of Differential Equations, ISSN 0022-0396, 07/2016, Volume 261, Issue 2, pp. 1017 - 1045
In this paper, an asymptotic traveling wave solution of a free boundary model for pricing a corporate bond with credit rating migration risk is studied. This... 
Traveling wave | PDE with discontinuous leading order coefficient | Free boundary problem | Asymptotic behavior | Credit rating migration risk model | CORPORATE-DEBT | SECURITIES | RISK | SPREADS | MATHEMATICS | TERM STRUCTURE | OPTIMAL CAPITAL STRUCTURE | BOND | EQUATION | Travel | Financial analysis | Credit ratings
Journal Article
Physics of Plasmas, ISSN 1070-664X, 12/2017, Volume 24, Issue 12, p. 122106
Analytical electron acoustic solitary wave (EASW) solution is investigated in the presence of periodic force for an unmagnetized plasma consisting of cold... 
BEAM | SOLITONS | MAGNETOPLASMAS | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | NOISE | EXTERNAL PERIODIC PERTURBATION | MEW-BURGERS EQUATION | BIFURCATION | Perturbation methods | Hot electrons | Mathematical analysis | Traveling waves | Acoustics | Solitary waves | Space plasmas | Electrons
Journal Article