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Analytical soliton solutions of the (2\(+\)1)-dimensional sine-Gordon equation

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Abstract

In this letter, we investigated a new (2\(+\)1)-dimensional sine-Gordon equation. By the subsidiary ordinary differential equation method, some new explicit solutions are given. These solutions include hyperbolic function solutions and trigonometric function solutions amongst others. In particular, a topological 1-soliton solution is derived.

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Acknowledgements

We thank anonymous reviewers for their suggestions that improved this paper. This work is supported by National Natural Science Foundation of China (71171175).

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Correspondence to Gangwei Wang.

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Shi, R., Song, Z., Feng, T. et al. Analytical soliton solutions of the (2\(+\)1)-dimensional sine-Gordon equation. Nonlinear Dyn 88, 255–262 (2017). https://doi.org/10.1007/s11071-016-3241-z

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  • DOI: https://doi.org/10.1007/s11071-016-3241-z

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