The purpose of this paper is concerned with developing new integrable Vakhnenko–Parkes equations with time-dependent coeﬃcients. The author obtains multiple soliton solutions and multiple complex soliton solutions for the time-dependent equations.
The developed time-dependent models have been handled by using the Hirota’s direct method. The author also uses Hirota’s complex criteria for deriving multiple complex soliton solutions.
The developed integrable models exhibit complete integrability for any analytic time-dependent coeﬃcient.
The paper presents an eﬃcient algorithm for handling time-dependent integrable equations with time-dependent coeﬃcients.
The author develops two Vakhnenko–Parkes equations with time-dependent coeﬃcients. These models represent more speciﬁc data than the related equations with constant coeﬃcients. The author showed that integrable equations with time-dependent coeﬃcients give real and complex soliton solutions.
The work presents useful techniques for ﬁnding integrable equations with time-dependent coeﬃcients.
The paper gives new integrable Vakhnenko–Parkes equations, which give a variety of multiple real and complex soliton solutions.
Wazwaz, A. (2019), "New integrable Vakhnenko–Parkes (VP) equations with time-dependent coefficients", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/HFF-04-2019-0358Download as .RIS
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