The diverse patterns of waves on the oceans yielded by the Kadomtsev Petviashvili-modified equal width(KP-mEW)equation are highlighted in this paper.Two recent established approaches such as the im-proved auxiliary eq...The diverse patterns of waves on the oceans yielded by the Kadomtsev Petviashvili-modified equal width(KP-mEW)equation are highlighted in this paper.Two recent established approaches such as the im-proved auxiliary equation technique and the enhanced rational(G'/G)-expansion scheme are utilized to construct wave solutions of the proposed governing model.Numerous rational,trigonometric,exponen-tial,and hyperbolic wave solutions bearing many free parameters are successfully acquired in appropriate form.The obtained solutions are plotted in various profiles as three-dimension,two-dimension,and con-tour to illustrate their physical appearances.The plotting outlines appear in the shapes of singular kink,anti-kink,kink,compacton,anti-compacton,bell,anti-bell,periodic,singular periodic etc.The computa-tional software Maple is used for plotting and checking the validity of the found solutions.This paper claims to be novel for generating new results regarding the earlier results.展开更多
Fractional order nonlinear evolution equations have emerged in recent times as being very important model for depicting the interior behavior of nonlinear phenomena that exist in the real world.In particular,Schroding...Fractional order nonlinear evolution equations have emerged in recent times as being very important model for depicting the interior behavior of nonlinear phenomena that exist in the real world.In particular,Schrodinger-type fractional nonlinear evolution equations constitute an aspect of the field of quantum mechanics.In this study,the(2+1)-dimensional time-fractional nonlinear Schrodinger equation and(1+1)-dimensional time-space fractional nonlinear Schrodinger equation are revealed as having different and novel wave structures.This is shown by constructing appropriate analytic wave solutions.A success-ful implementation of the advised rational(1/φ'(ξ))-expansion method generates new outcomes of the considered equations,by comparing them with those already noted in the literature.On the basis of the conformable fractional derivative,a composite wave variable conversion has been used to adapt the suggested equations into the differential equations with a single independent variable before applying the scheme.Finally,the well-furnished outcomes are plotted in different 3D and 2D profiles for the purpose of illustrating various physical characteristics of wave structures.The employed technique is competent,productive and concise enough,making it feasible for future studies.展开更多
文摘The diverse patterns of waves on the oceans yielded by the Kadomtsev Petviashvili-modified equal width(KP-mEW)equation are highlighted in this paper.Two recent established approaches such as the im-proved auxiliary equation technique and the enhanced rational(G'/G)-expansion scheme are utilized to construct wave solutions of the proposed governing model.Numerous rational,trigonometric,exponen-tial,and hyperbolic wave solutions bearing many free parameters are successfully acquired in appropriate form.The obtained solutions are plotted in various profiles as three-dimension,two-dimension,and con-tour to illustrate their physical appearances.The plotting outlines appear in the shapes of singular kink,anti-kink,kink,compacton,anti-compacton,bell,anti-bell,periodic,singular periodic etc.The computa-tional software Maple is used for plotting and checking the validity of the found solutions.This paper claims to be novel for generating new results regarding the earlier results.
基金the support provided by CONACyT:Cátedras CONACyT para jóvenes investigadores 2014 and SNI-CONACyTthe support given by the DINVP-Universidad Iberoamericana.
文摘Fractional order nonlinear evolution equations have emerged in recent times as being very important model for depicting the interior behavior of nonlinear phenomena that exist in the real world.In particular,Schrodinger-type fractional nonlinear evolution equations constitute an aspect of the field of quantum mechanics.In this study,the(2+1)-dimensional time-fractional nonlinear Schrodinger equation and(1+1)-dimensional time-space fractional nonlinear Schrodinger equation are revealed as having different and novel wave structures.This is shown by constructing appropriate analytic wave solutions.A success-ful implementation of the advised rational(1/φ'(ξ))-expansion method generates new outcomes of the considered equations,by comparing them with those already noted in the literature.On the basis of the conformable fractional derivative,a composite wave variable conversion has been used to adapt the suggested equations into the differential equations with a single independent variable before applying the scheme.Finally,the well-furnished outcomes are plotted in different 3D and 2D profiles for the purpose of illustrating various physical characteristics of wave structures.The employed technique is competent,productive and concise enough,making it feasible for future studies.
