Orbital stability of solitary wave solutions of Kudryashov–Sinelshchikov equation
School of Data-Science and Information-Engineering, Guizhou Minzu University, 550025, Guiyang, Guizhou, People’s Republic of China
Accepted: 30 September 2020
Published online: 10 October 2020
We study orbital stability of solitary wave solutions of the Kudryashov–Sinelshchikov equation in describing the pressure waves in a mixture liquid. Our approach is based on the theories of orbital stability presented by Grillakis, Shatah and Strauss, and relies on the sign of scalar function. By analyzing and proving conditions for stability or instability of solitary wave solution to the Kudryashov–Sinelshchikov equation in terms of parameters, the conditions in stability of solitary wave solution to the Kudryashov–Sinelshchikov equation are given.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020