Periodic wave solutions to a coupled KdV equations with variable coefficients

By Yubin Zhou, Mingliang Wang, Yueming Wang. 2003

503 citations recorded by the source corpus.

Abstract The periodic wave solutions to a coupled KdV equations with variable coefficients are obtained by using F-expansion method which can be thought of as an over-all generalization of Jacobi elliptic function expansion method. In the limit cases, the solitary wave solutions are obtained as well.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d28f45c598b024755918246fcad91ed626307460

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation (2009, methodology): “Later it was broadly adopted in the extended tanh-function method [13,14], the tanh–coth method [16], the F-expansion method [19], the mapping method [20,36], and the extended F-expansion method [21,22].”
Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations (2014, methodology): “In the past decades, many powerful methods for solving NLPDEs have been developed, such as the inverse scattering method [1], Bäcklund and Darboux transform [2, 3], Hirota’s bilinearmethod [4], Painlevé analysis method [5], variable separationmethod [6–8], tanh-functionmethod [9– 11], variational it”
A multiple exp-function method for nonlinear differential equations and its application (2010, methodology): “the mapping method [34, 35], the F -expansion type methods [36, 37, 38] and the G/G-expansion method [39].”