A study on a (2+1)-dimensional and a (3+1)-dimensional generalized Burgers equation

Contemporary review of techniques for the solution of nonlinear Burgers equation

“…Few more techniques are available in [162][163][164][165][166][167][168][169][170][171][172][173][174][175][176][177][178][179][180]. Moreover, nowadays a large amount of software are available that can be used for solving different model of similar type [181] …”

Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme

“…In the applied science, NLEEs are extensively used in theoretical studies to model a wide range of nonlinear phenomena. To comprehend the mechanisms of nonlinear phenomena, it is vital to investigate the solutions of NLEEs [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. One specific tool that has recently achieved a special interest from academic researchers is the multiple exp-function scheme [16,17].…”

Soliton and Riemann theta function quasi-periodic wave solutions for a $$(2+1)$$ ( 2 + 1 ) -dimensional generalized shallow water wave equation

“…Other exact solutions also have been investigated by many researchers, and some of powerful methods have been presented, such as the extended Jacobi elliptic function expansion method [10][11][12][13], inverse scattering transformation method [14,15], multiple exp-function method [16,17], extended F-expansion method [18], the Hirota method [19][20][21][22][23][24][25], G G -expansion method [26,27], the Weierstrass elliptic function method [28][29][30] and so on. Nakamura [31,32] proposed a convenient way to construct a kind of quasi-periodic solutions of nonlinear equations in his two serial papers.…”