Global analytic solutions and traveling wave solutions of the Cauchy problem for the Novikov equation

Wu, Xinglong

doi:10.1090/proc/12981

Global analytic solutions and traveling wave solutions of the Cauchy problem for the Novikov equation
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Proc. Amer. Math. Soc. 146 (2018), 1537-1550 Request permission

Abstract:

In this paper, we mainly study the existence and uniqueness of the analytic solutions for the Novikov equation. We first investigate whether the equation has analytic solutions which exist globally in time, provided the initial data satisfies certain sign conditions. We also get the analyticity of the Cauchy problem for a family of nonlinear wave equations. Finally, we prove that the Novikov equation has a family of traveling wave solutions.

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