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

• Authors: M. Savescu , A. Kara , S. Kumar , E. Krishnan , M. Zaka Ullah , S. Moshokoa , Qin Zhou , A. Biswas
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

solitons; χ^{(2)}; conservation laws

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 2
• Pages: 297-303

Dates

published

2017-02

received

2016-1-027

Contributors

author

M. Savescu

• Department of Mathematics, Kuztown University of Pennsylvania, 15200 Kutztown Road, Kuztown, PA-19530, USA

author

A. Kara

• School of Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa

author

S. Kumar

• Centre for Mathematics and Statistics, Central University of Punjab, Bathinda-151001, Punjab, India

author

E. Krishnan

• Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Sultanate of Oman

author

M. Zaka Ullah

• Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box-80203, Jeddah-21589, Saudi Arabia

author

S. Moshokoa

• Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa

author

Qin Zhou

• School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, PR China

author

A. Biswas

• Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box-80203, Jeddah-21589, Saudi Arabia
• Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa

References

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Identifiers

DOI

10.12693/APhysPolA.131.297