Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation

Exact Periodic Wave Solutions of a Singular Integrable Equation

“…In this paper, we employ the method of dynamical systems [3,6,7,8] to investigate the periodic waves of the Eq. (1.1).…”

Analytical and Multishaped Solitary Wave Solutions for Extended Reduced Ostrovsky Equation

“…Now we will show how to get exact traveling wave solutions of (6). From (8) and (14), the solution of EX-ROE (6) is given in parametric form, with as the parameter, by…”

“…By using (8), (14), (34), (35), (30), and (31), we obtain a parameterized trigonometric-function-type traveling wave solution of (6) as follows:…”

“…Parkes [4] constructed periodic and solitary wave solutions of EX-ROE and gave the categorization of the solutions. Xie and Cai [14] used the bifurcation method of dynamic systems and simulation method of differential equations to get exact compacton and generalized kink wave solutions of EX-ROE. Stepanyants [15] applied the qualitative theory of differential equations to give a full classification of its solutions.…”

Periodic and solitary travelling-wave solutions of a CH–DP equation

“…In this paper, for b = 3, we continue to study the other bounded travelling wave solutions of Eq. (1.2), by using dynamical system theory (see [19][20][21][22] and cited their references) and the integral bifurcation method [23][24][25]. Some results in [19] will be improved.…”