SOLITARY WAVE SOLUTIONS FOR THE (2+1) CBS EQUATION
Abstract
The aim of this paper is to investigate the traveling wave solution of the Calogero-Bogoyavlenskii-Schiff (CBS) equation using the Riccati-Bernoulli (RB) sub-ODE method. The (RB) sub-ODE method is used to secure traveling wave solutions that are expressed explicitly and graphically in 3D. The RB sub-ODE technique is a powerful tool that is used to solve various nonlinear partial differential equations (NPDEs). The obtained soliton solutions have been demonstrated by relevant figures.
References
[1]G. B. Whitham, Linear and Nonlinear Waves, John Wiley and Sons, 2011.
[2]G. P. Agrawal, Nonlinear fiber optics, Nonlinear Science at the Dawn of the 21st Century, Springer, Berlin, Heidelberg, 2000.
[3]F. Tchier, A. I. Aliyu, A. Yusuf and M. Inc, Dynamics of solitons to the ill-posed Boussinesq equation, The European Physical Journal Plus 132(3) (2017), 1-9.
[4]S. Ibrahim, T. A. Sulaiman, A. Yusuf, A. S. Alshomrani and D. Baleanu, Families of optical soliton solutions for the nonlinear Hirota-Schrodinger equation, Opt. Quant. Electron 54(11) (2022), 1-15. https://doi.org/10.1007/s11082-022-04149-x.
[5]T. A. Sulaiman, A. Yusuf, A. S. Alshomrani and D. Baleanu, Lump collision phenomena to a nonlinear physical model in coastal engineering, Mathematics 10(15) (2022), p. 2805.
[6]J. J. Fang, D. S. Mou, H. C. Zhang and Y. Y. Wang, Discrete fractional soliton dynamics of the fractional Ablowitz-Ladik model, Optik 228 (2021), 166-186.
[7]S. Ibrahim, Discrete least square method for solving differential equations, Advances and Applications in Discrete Mathematics 30 (2022), 87-102. http://dx.doi.org/10.17654/0974165822021.
[8]L. Akinyemi, U. Akpan, P. Veeresha, H. Rezazadeh and M. Inc, Computational techniques to study the dynamics of generalized unstable nonlinear Schrödinger equation, Journal of Ocean Engineering and Science (2022), 1-18. https://doi.org/10.1016/j.joes.2022.02.011.
[9]Y. A. Sabawi, A posteriori error analysis in finite element approximation for fully discrete semilinear parabolic problems, Finite Element Methods and their Applications, IntechOpen, 2020, pp. 1-19.
[10]S. Ibrahim, Numerical approximation method for solving differential equations, Eurasian Journal of Science and Engineering 6(2) (2020), 157-168.
[11]S. Ibrahim and M. E. Koksal, Commutativity of sixth-order time-varying linear systems, Circuits, Systems, and Signal Processing 40(10) (2021), 4799-4832.
[12]S. Ibrahim and M. E. Koksal, Realization of a fourth-order linear time-varying differential system with nonzero initial conditions by cascaded two second-order commutative pairs, Circuits, Systems, and Signal Processing 40(6) (2021), 3107-3123.
[13]S. Ibrahim and A. Rababah, Decomposition of fourth-order Euler-type linear time-varying differential system into cascaded two second-order Euler commutative pairs, Complexity Volume 2022, Article ID 3690019, 9 pp. https://doi.org/10.1155/2022/3690019.
[14]S. Ibrahim, Commutativity of high-order linear time-varying systems, Advances in Differential Equations and Control Processes 27 (2022), 73-83. http://dx.doi.org/10.17654/0974324322013.
[15]S. Ibrahim, Commutativity associated with Euler second-order differential equation, Advances in Differential Equations and Control Processes 28 (2022), 29-36. http://dx.doi.org/10.17654/0974324322022.
[16]X. F. Yang, Z. C. Deng and Y. Wei, A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application, Advances in Difference Equations 2015(1) (2015), 1-17.
[17]D. Baleanu, M. Inc, A. I. Aliyu and A. Yusuf, Dark optical solitons and conservation laws to the resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity, Optik 147 (2017), 248-255.
[18]B. Karaman, New exact solutions of the time-fractional foam drainage equation via a Riccati-Bernoulli sub ode method, Online International Symposium on Applied Mathematics and Engineering (ISAME22), Istanbul-Turkey, 2022, 105 pp.
[19]S. R. Islam, A. Akbulut and S. Y. Arafat, Exact solutions of the different dimensional CBS equations in mathematical physics, Partial Differential Equations in Applied Mathematics 5 (2022), 100320.