Several Types of Periodic Wave Solutions and Their Relations of a Fujimoto-Watanabe Equation

On existence of kink and antikink wave solutions of singularly perturbed Gardner equation

“…[2][3][4][5][6][7] Especially, Chen and Liu 4 found the heteroclinic orbits and corresponding kink and antikink wave solutions by the method of dynamical systems. [8][9][10][11][12][13][14][15][16][17][18][19][20][21] Note that Equation (1) can be viewed as perturbation of Equation (2). To study the kink and antikink wave solutions of Equation (1), we first give some necessary results about Equation (2).…”

“…Equation has broad application in various branches of physics, such as fluid physics and plasma physics, and the solutions of Equation and their dynamical behavior have been extensively studied from different aspects . Especially, Chen and Liu found the heteroclinic orbits and corresponding kink and antikink wave solutions by the method of dynamical systems …”

Abundant explicit periodic wave solutions and their limit forms to space‐time fractional Drinfel'd–Sokolov–Wilson equation

“…It is worth mentioning that the bifurcation method is an effective and efficient method to find exact solutions of PDEs and it has made great achievements in finding exact solutions of PDEs and analyzing their dynamical behaviors. [15][16][17][18][19][20][21][22][23][24][25][26] Very recently, the bifurcation method has been generalized to study exact solutions of space-time fPDEs. 27,28 As an illustration, Wen 27 studied the exact solutions of the following space-time fractional Drinfel'd-Sokolov-Wilson equation (DSWE)…”

New approaches for periodic wave solutions of a non-Newtonian filtration equation with variable delay

“…After that, more related papers for non-Newtonian filtration equation and related nonlinear equation appeared, see e.g. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”