Dynamics of the breathers, rogue waves and solitary waves in the (2+1)-dimensional Ito equation

Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

“…It is also integrable by the one-dimensional inverse scattering transform and Painléve test [28][29][30][31]. Recently, more and more people are interested in studying some generalized nonlinear evolution equations [32][33][34][35][36][37][38], resulting from their more widely applications in many physical fields [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. To our knowledge, Riemann theta function periodic wave solutions for Eq.…”

Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrödinger equation

“…[16][17][18][19][20][21][22][23][24][25][26][27] In recent years, based on Darboux transformation (DT) approach and Hirota's bilinear approach, there have been a number of effects to investigate soliton solutions and rogue wave solutions of nonlinear differential equations. [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47] In particular, one of our authors, Wang, [48][49][50][51][52][53][54] investigates the soliton solutions and rogue wave solutions of nonlinear evolution equations (NLEEs).…”

On some new analytical solutions for new coupled Konno–Oono equation by the external trial equation method

“…Authors of [5] obtained trawling wave solution for coupled Konno-Oono (CKO) equation using the modified exponential function method. A special case of system (1.1) to be considered transformed into new Konno-Oono equation system which is a coupled integrable dispersionless equations given as form of: )-expansion method [13][14][15], the G G ¢ -expansion method [16,17], the generalized G G ¢ -expansion method [18], the Bernoulli sub-equation function method [19][20][21][22], the sine-Gordon expansion method [23][24][25], the Ricatti equation expansion [26], the formal linearization method [27], the Lie symmetry [28][29][30], the Bäcklund transformations [31][32][33], the Darboux transformation [34], the Fokas method [35][36][37], the Hirota bilinear method [38][39][40][41]43], and so on.…”