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Quasi-periodic waves and asymptotic behavior for a coupled nonlinear Klein-Gordon equation
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Proc. Amer. Math. Soc. 151 (2023), 5265-5282

DOI: https://doi.org/10.1090/proc/16442

Published electronically: September 14, 2023

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Abstract:

With the Hirota’s bilinear method, $N$-periodic wave solutions to the coupled nonlinear Klein-Gordon equation are constructed in terms of theta function. The asymptotic behaviors under small amplitude limits are also deduced strictly for the one and two-periodic waves. Moreover, a numerical scheme is presented for the case of $N\geq 3$. Some three-periodic wave solutions are calculated numerically as examples.

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