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New Optical Solitons of the Longitudinal Wave Equation in a Magnetoelectro-Elastic Circular Rod

100%

Hosseini K., Mayeli P., Yazdani Bejarbaneh E., Zhou Q.

Acta Physica Polonica A

2018

vol. 133

issue 1

20-22

This paper studies a nonlinear partial differential equation known as the nonlinear longitudinal wave equation which describes the propagation of optical solitons in a magnetoelectro-elastic circular rod. Mentioned task is performed by solving this nonlinear equation using the well-designed modified Kudryashov method, producing a series of new optical solitons. The capability of the modified Kudryashov method in handling the nonlinear longitudinal wave equation in a magnetoelectro-elastic circular rod is confirmed.

Embedded Solitons and Conservation Law with χ^{(2)} and χ^{(3)} Nonlinear Susceptibilities

64%

Savescu M., Kara A., Kumar S., Krishnan E., Zaka Ullah M., Moshokoa S., Zhou Q., Biswas A.

Acta Physica Polonica A

2017

vol. 131

issue 2

297-303

This paper studies embedded solitons that are confined to continuous spectrum, with χ^{(2)} and χ^{(3)} nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.

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2 Acta Physica Polonica A

1 2018

1 2017

2 Zhou Q.

1 Biswas A.

1 Hosseini K.

1 Kara A.

1 Krishnan E.

1 Kumar S.

1 Mayeli P.

1 Moshokoa S.

1 Savescu M.

1 Yazdani Bejarbaneh E.

1 Zaka Ullah M.

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New Optical Solitons of the Longitudinal Wave Equation in a Magnetoelectro-Elastic Circular Rod

Embedded Solitons and Conservation Law with χ^{(2)} and χ^{(3)} Nonlinear Susceptibilities