New Solitary Wave Solutions in Higher-Order Wave Equations of the Korteweg – de Vries Type

Recently, a considerable number of analytic methods have been successfully developed and applied for constructing exact travelling wave so- lutions to nonlinear evolution equations

Positon, Negaton, and Complexiton Solutions We will construct new positon, negaton and com- plexiton solutions for the coupled KdV–mKdV sys- tem from its Darboux transformation

Key words: Coupled mKdV Equation; Hirota Bilinear Method; Hietarinta Approach; Multiple Soliton Solutions; Multiple Singular Soliton Solutions;

b Departamento de Matem´atica Aplicada, Universidad Rey Juan Carlos, C/ Tulip´an s/n, 28933 M´ostoles, Madrid, Spain Reprint requests to A.. We obtain the result that the

(24) For this last equation we thus obtain two travelling- wave solutions, given by substituting µ = α in (21), where α is one of the two positive real roots of (23) (we can choose

In this paper we have used a simple assump- tion and have found new solitary wave solutions for equations (1.4) and (1.5), that represent, respectively, second- and

3 by numerical simulations the dynamics of the bright and dark solitary-waves of type I using the ana- lytic solitary-waves as the initial profiles and the evo- lutions of

In summary, based on Yan [21] and Liu and Yang [20], using symbolic computation, we have improved the extended F-expansion method in [20] and proposed the further improved