https://doi.org/10.1140/epjp/s13360-020-00546-x
Regular Article
Bifurcation and new traveling wave solutions for (2 + 1)-dimensional nonlinear Nizhnik–Novikov–Veselov dynamical equation
1
Department of Mathematics and Statistics, College of Science, King Faisal University, P. O. Box 400, 31982, Al-Ahsa, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
3
Department of Mathematics, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt
b aelmandouh@kfu.edu.sa, adel78@mans.edu.eg
Received:
24
February
2020
Accepted:
18
June
2020
Published online:
29
June
2020
The bifurcation theory for planar dynamical systems is applied to the traveling wave system corresponding to the 
-dimensional nonlinear Nizhnik–Novikov–Veselov dynamical equation. For certain values of the bifurcation parameters, we introduce new traveling wave solutions. These solutions are expressed in terms of elliptic Jacobi functions and Weierstrass elliptic function. These solutions are graphically clarified.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
