Abstract
(2 + 1) dimensional Boussinesq and Kadomtsev-Petviashvili equation are investigated by employing Jacobi elliptic function expansion method in this paper. As a result, some new forms traveling wave solutions of the equation are reported. Numerical simulation results are shown. These new solutions may be important for the explanation of some practical physical problems. The results of this paper show that Jacobi elliptic function method can be a useful tool in obtaining evolution solutions of nonlinear system.
Highlights
It is well known that the nonlinear physical phenomena are related to nonlinear partial differential equations, which are employed in natural and applied science such as fluid dynamics, plasma physics, biology, etc
Numerical simulation results are shown. These new solutions may be important for the explanation of some practical physical problems
Some new analytical solutions of Boussinesq and KdomtsevPetviashvili (BKP) equation are obtained by successfully employing Jacobi elliptic function expansion method in this paper
Summary
It is well known that the nonlinear physical phenomena are related to nonlinear partial differential equations, which are employed in natural and applied science such as fluid dynamics, plasma physics, biology, etc. Their solution spaces are infnite-dimensional and contain diverse solution structures. (2 + 1) dimensional Boussinesq and KdomtsevPetviashvili (BKP) equation is an important nonlinear partial differential equation in mathematical physics, which had been mentioned in literatures [14-16]. The aim of this paper is to apply the Jacobi elliptic function expansion method [11] to solve (2 + 1) dimensional BKP equation.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
