Performance of a hybrid computational scheme on traveling waves and its dynamic transition for Gilson–Pickering equation

In this work, we developed a hybrid scheme for Gilson–Pickering equation by extracting advantageous features of collocation method and B-splines. Collocation method involves satisfying a differenti...

[1]  Bo Jiang,et al.  Bifurcations and some new traveling wave solutions for the CH-γ equation , 2014, Appl. Math. Comput..

[2]  Jibin Li,et al.  Bifurcations of phase portraits of a Singular Nonlinear Equation of the Second Class , 2014, Commun. Nonlinear Sci. Numer. Simul..

[3]  C. Gilson,et al.  Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations , 1995 .

[4]  B. Tian,et al.  The solitonic features of a nonintegrable (3 + 1)-dimensional Jimbo-Miwa equation☆ , 2002 .

[5]  Zhenya Yan,et al.  Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces , 2001 .

[6]  S. Y. Doka,et al.  Electromagnetic wave solitons in optical metamaterials , 2017 .

[7]  Anjan Biswas,et al.  Soliton solutions and conservation laws of the Gilson–Pickering equation , 2011 .

[8]  Asit Saha,et al.  Bifurcation, periodic and chaotic motions of the modified equal width-Burgers (MEW-Burgers) equation with external periodic perturbation , 2017 .

[9]  Asit Saha,et al.  Bifurcation of travelling wave solutions for the generalized KP-MEW equations , 2012 .

[10]  R. Grimshaw,et al.  Periodic and chaotic behaviour in a reduction of the perturbed Korteweg-de Vries equation , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[11]  Chaotic behaviour of solutions to a perturbed Korteweg—de Vries equation , 2002, nlin/0206019.

[12]  Bo Tian,et al.  Cylindrical Kadomtsev–Petviashvili model, nebulons and symbolic computation for cosmic dust ion-acoustic waves , 2006 .

[13]  D. Zheng,et al.  Period doubling in a perturbed sine-Gordon system, a long Josephson junction , 1989 .

[14]  Wentao Huang,et al.  Bifurcations of travelling wave solutions for the Gilson–Pickering equation , 2009 .

[15]  P. A. Clarkson,et al.  Symmetries of a class of nonlinear third-order partial differential equations , 1996 .

[16]  F. Abdullaev Dynamical chaos of solitons and nonlinear periodic waves , 1989 .

[17]  Haihong Liu,et al.  Bifurcation and exact travelling wave solutions for Gardner-KP equation , 2014, Appl. Math. Comput..

[18]  Asit Saha,et al.  Dynamics of the generalized KP-MEW-Burgers equation with external periodic perturbation , 2017, Comput. Math. Appl..