The propagation of shape changing soliton in a nonuniform nonlocal media

Kavitha, L.; Lavanya, C.; Dhamayanthi, S.; Akila, N.; Gopi, D.

doi:10.1088/1674-1056/22/8/084209

Cited by 10 publications

(8 citation statements)

References 77 publications

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“…which occurs in several contexts in nonlinear physics. [38,39] The perturbation p[q, q * ] in general is small and depends on function q and its complex conjugate q * , and sometimes also depends on the derivatives of q. The unperturbed problem, i.e., p[q, q * ] = 0, is well known to be solvable [40] by inverse scattering transform, and finite energy soliton solutions exist that are dynamically stable and robust with respect to collision.…”

Section: Perturbed Soliton Spin Excitationsmentioning

confidence: 99%

Propagation of an electromagnetic soliton in an anisotropic biquadratic ferromagnetic medium

Kavitha¹,

Saravanan²,

Gopi³

2013

Chinese Phys. B

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Information storage technology based on anisotropic ferromagnets with sufficiently high magneto-optical effects has received much attention in recent years. Magneto-optical recording combines the merits of magnetic and optical techniques. We investigate the magneto-optical effects on a biquadratic ferromagnet and show that the dynamics of the system are governed by a perturbed nonlinear Schrödinger equation. The evolutions of amplitude and velocity of the soliton are found to be time independent, thereby admitting the lossless propagation of the electromagnetic soliton in the medium, which may have potential applications in soliton based optical communication systems. We also exploit the role of perturbation, which has a significant impact on the propagation of an electromagnetic soliton.

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Section: Perturbed Soliton Spin Excitationsmentioning

confidence: 99%

Propagation of an electromagnetic soliton in an anisotropic biquadratic ferromagnetic medium

Kavitha¹,

Saravanan²,

Gopi³

2013

Chinese Phys. B

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“…Recently, various powerful methods have been utilized to explore different kind of solutions for nonlinear partial differential equations. However, the direct searching for exact solutions of nonlinear evolution equations has become more attractive due to the availability of computer symbolic systems like Maple and Mathematica which allows us to perform some complicated and tedious algebraic calculations on computer, as well as helping us to find new exact solutions of nonlinear evolution equations using the effective methods such as the homogeneous balance method [8,9], tangent hyperbolic function method and modified extended tangent hyperbolic function method [10][11][12][13][14][15][16][17], sine-cosine method [18,19], Jacobi elliptic function method [20][21][22][23], double exponential function method [24], Riccati method [25,26], F-expansion and extended F-expansion methods [27], modified extended homoclinic test approach [28] and other methods [29][30][31][32][33]. From these, many of them are used to solve integral evolution equations for analytical solutions conveniently.…”

Section: Introductionmentioning

confidence: 99%

Elastic collision of mobile solitons of a (3 + 1)-dimensional soliton equation

et al. 2016

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The multiple exp-function method is a new approach to obtain multiple-wave solutions of nonlinear partial differential equations (NLPDEs). By this method, one can obtain multi-soliton solutions of NLPDEs. Hence, in this paper, using symbolic computation, we apply the multiple exp-function method to construct the exact multiple-wave solutions of a (3 + 1)-dimensional soliton equation. Based on this application, we obtain mobile single-wave, double-wave and multi-wave solutions for this equation. In addition, we employ the straightforward and algebraic Hirota bilinearization method to construct the multi-soliton solutions of NLPDEs, and we reveal the remarkable property of soliton-soliton collision through this approach. Further, we investigate the one-and two-soliton solutions of a (3 + 1)-dimensional soliton equation using the Hirota's method. We explore the particle-like behavior or elastic interaction of solitons, which has potential application in optical communication systems and switching devices.

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“…However, Kavitha et al do not seem to realize the magnitude of this problem. In the following two papers [3,4], they discussed Eq. (2) and Eq.…”

Section: Introductionmentioning

confidence: 99%

“…

a b s t r a c tIn a recent series of papers, Kavitha et al [2,3,4] solved three inhomogeneous nonlinear Schrödinger (INLS) integro-differential equation under the influence of a variety of nonlinear inhomogeneities and nonlocal damping by the modified extended tangent hyperbolic function method. They obtained several kinds of exact solitary solutions accompanied by the shape changing property.

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mentioning

confidence: 99%