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Exact traveling wave solutions and bifurcations of the Biswas–Milovic equation

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Abstract

In this paper, we consider the Biswas–Milovic equation. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the traveling wave system under different parameter conditions. Corresponding to some special level curves, we derive possible exact explicit parametric representations of solutions (including solitary wave solutions, kink and anti-kink wave solutions, periodic wave solutions and compactons) under different parameter conditions.

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Correspondence to Jibin Li.

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The authors are supported by the National Natural Science Foundation of China (11471289, 11162020, 11571318).

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Zhu, W., Li, J. Exact traveling wave solutions and bifurcations of the Biswas–Milovic equation. Nonlinear Dyn 84, 1973–1987 (2016). https://doi.org/10.1007/s11071-016-2621-8

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  • DOI: https://doi.org/10.1007/s11071-016-2621-8

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