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Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 03/2005, Volume 71, Issue 3, p. 036604
Exact solutions of the (n+1)-dimensional sine-Gordon field equation are studied with help of those of the cubic nonlinear Klein-Gordon fields. The mapping... 
SYSTEM | COULOMB GAS | SOLITONS | PHYSICS, FLUIDS & PLASMAS | (2+1)-DIMENSIONAL KDV EQUATION | INTEGRABLE GENERALIZATION | PHYSICS, MATHEMATICAL | NONLINEAR EVOLUTION-EQUATIONS | LOCALIZED EXCITATIONS | VARIABLE SEPARATION APPROACH | COHERENT STRUCTURES | SUPERFLUID HE-3
Journal Article
1993, Nonlinear topics in the mathematical sciences., ISBN 0792322924, Volume 3, xiv, 327
Book
Optik, ISSN 0030-4026, 02/2018, Volume 155, pp. 257 - 266
In this paper, the sine-Gordon equation expansion method (SGEM) is used to acquire the optical solitary waves to the nonlinear Schrödinger's equation (NLSE)... 
Conservation laws | Soliton | Stability analysis | Sine-Gordon equation expansion method | TRANSFORMATION | PERTURBATION | DARK | FIBERS | SOLITONS | EVOLUTION | RICCATI EQUATION | OPTICS | SPATIOTEMPORAL DISPERSION | BRIGHT
Journal Article
Advances in Mathematical Physics, ISSN 1687-9120, 2018, Volume 2018, pp. 1 - 8
Journal Article
1981, ISBN 0120145758, Volume no. 14., xiv, 396
Book
ADVANCES IN DIFFERENCE EQUATIONS, ISSN 1687-1847, 07/2019, Volume 2019, Issue 1, pp. 1 - 9
In this work, we present a new two-waves' version of the fifth-order Korteweg-de Vries model. This model describes the propagation of moving two-waves under... 
MATHEMATICS | MATHEMATICS, APPLIED | SOLITON-SOLUTIONS | Two-wave fifth-order KdV equation | Sine-cosine function method | NONLINEAR EVOLUTION-EQUATIONS | Kudryashov-scheme | Trigonometric functions | Phase velocity | Wave propagation | Sine–cosine function method
Journal Article
Wave Motion, ISSN 0165-2125, 01/2019, Volume 85, pp. 114 - 124
In this paper, we revisit the (2+1) dimensional long dispersive wave equation employing the truncated Painlevé approach. We then generate the solutions in the... 
ACOUSTICS | INTEGRABILITY | MECHANICS | PHYSICS, MULTIDISCIPLINARY | SINE-GORDON EQUATION | LOCALIZED COHERENT STRUCTURES | SOLITON | Numerical analysis | Propagation | Wave equations | Wave dispersion
Journal Article
IEEE Transactions on Biomedical Engineering, ISSN 0018-9294, 7/2019, pp. 1 - 1
Objective: The purpose of the present work is to assess the ability of sine waves to perform Electrochemotherapy (ECT) and to study the dependence of the... 
frequency dependence | Electroporation | Electrochemotherapy | sine wave
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 215, Issue 8, pp. 2950 - 2964
We discuss a model system of partial differential equations for description of the spatio-temporal dynamics of interacting populations. We are interested in... 
Nonlinear dynamics | Asymptotic stability | Population dynamics | Kinks | Solitary waves | Migration | MATHEMATICS, APPLIED | ASYMPTOTIC SOLITONS | KURAMOTO-SIVASHINSKY | SINE-GORDON EQUATION | DIFFERENTIAL-EQUATIONS | THERMAL-EQUILIBRIUM | BURGERS-EQUATION | FISHER EQUATIONS | BROER-KAUP EQUATION | MULTIPLE-SOLITON SOLUTIONS | COMPETING POPULATIONS | Analysis | Wave propagation
Journal Article
Zeitschrift für Naturforschung A, ISSN 0932-0784, 10/2018, Volume 73, Issue 10, pp. 883 - 892
We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential... 
Tzitzéica | Weierstrass Function | 02.30.Ik | sine-Gordon | Dodd-Bullough | Liouville Equation | sinh-Gordon | 02.30.Hq | 04.20.Jb | Dodd-Bullough-Mikhailov | TRANSFORMATION | Tzitzeica | PHYSICS, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | DIFFERENTIAL-EQUATIONS | EVOLUTION | MODELS
Journal Article
Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 04/2017, Volume 135, pp. 327 - 336
In this article, we employ the sine-Gordon expansion method to construct a new solitary and optical wave structures to the (1 + 1)-dimensional combined... 
The sine-Gordon expansion method | The (1 + 1)-dimensional combined KdV–mKdV equation | Rational and optical function structures | Trigonometric | Hyperbolic | Complex | The (1 + 1)-dimensional combined KdV–mKdV equation | SYSTEM | The (1+1)-dimensional combined | OPTICS | KdV-mKdV equation
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2017, Volume 298, pp. 1 - 12
In the present paper, the nonlinear time-fractional Kudryashov–Sinelshchikov equation has been solved numerically by using radial basis function (RBF) method.... 
Sech-tanh method | Caputo fractional derivative | Fractional Kudryashov–Sinelshchikov equation | Radial basis function method | MATHEMATICS, APPLIED | APPROXIMATION | NUMERICAL-METHOD | DIFFUSION-EQUATIONS | RADIAL BASIS FUNCTIONS | SINE-GORDON | Fractional Kudryashov Sinelshchikov equation
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 03/2017, Volume 375, Issue 2088, p. 20160212
A general form of a distributed feedback control algorithm based on the speed-gradient method is developed. The goal of the control is to achieve nonlinear... 
Numerical solution | Nonlinear wave | Feedback control | numerical solution | STABILIZATION | MULTIDISCIPLINARY SCIENCES | feedback control | SINE-GORDON EQUATION | MODEL | nonlinear wave | FEEDBACK | 1008 | 191 | 119 | 1009
Journal Article
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 7/2011, Volume 369, Issue 1947, pp. 2957 - 2972
Journal Article
Physical Review Letters, ISSN 0031-9007, 01/2009, Volume 102, Issue 1, p. 017006
Recently, it has been shown that large stacks of intrinsic Josephson junctions in Bi2Sr2CaCu2O8 emit synchronous THz radiation, the synchronization presumably... 
SINGLE-CRYSTALS | MODES | TUNNEL-JUNCTIONS | PHYSICS, MULTIDISCIPLINARY | SINE-GORDON EQUATIONS | CAVITY | DYNAMICS | HOTSPOTS | EMISSION | RADIATION | SUPERCONDUCTORS | Physics - Superconductivity
Journal Article
Journal of Lightwave Technology, ISSN 0733-8724, 05/2016, Volume 34, Issue 9, pp. 2152 - 2157
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2014, Volume 52, Issue 3, pp. 1103 - 1127
We propose an exponential wave integrator sine pseudospectral (EWI-SP) method for the nonlinear Schrodinger equation (NLS) with wave operator (NLSW), and carry... 
Nonlinear Schrödinger equation with wave operator | Sine pseudospectral method | Error estimates | Exponential wave integrator | MATHEMATICS, APPLIED | sine pseudospectral method | ZAKHAROV EQUATIONS | exponential wave integrator | SPLITTING METHODS | SPACE |