[PDF] Top 20 The Lump Solutions of the (1 + 1) Dimensional Ito Equation

... exact solutions of nonlinear equation is one of the hot topics in nonlinear ...exact solutions of nonlinear partial differential equa- tions (NLPDEs) has become more and more ...act solutions ... See full document

... Kaup-Kupershmit equation is one of the solitonic equations related to the integrable cases of the Henon-Heiles ...exact solutions of the (1 + 1) dimensional Kaup Kupershmit ... See full document

... the solutions of (1 + 1)-dimensional dispersive long wave equation via the characteristic function method, which depends on the application of a one-parameter group transformation to ... See full document

... ical solutions of nonlinear problems ...numerical solutions, especially when we encounter very sensitive problems such as chaos, exact solutions have important ...Accurate solutions can also ... See full document

... ZK equation determines the behavior of weakly nonlin- ear ion-acoustic waves incorporating hot isothermal electrons and cold ions in the pres- ence of a uniform magnetic field ...ZK equation also involves an ... See full document

... high dimensional nonlinear partial differential or difference equations attract much ...multi-soliton solutions, Bäcklund and Darboux transformation ...high dimensional equations some are deduced ... See full document

... the solutions for system ...similarity solutions of system ...long-wave equation by using the variable separation ...analytical solutions dispersive long-wave equation,their study based ... See full document

... obtained solutions and physical interpretations revealing the dynamics modeled into the equations and sam- pled by graphical representations and comparisons with published literature results, [38], culminating ... See full document

... wave solutions of the KP-BBM equation, the (3 + 1)-dimensional potential-YTSF equation, the (2 + 1)-dimen- sional Zakharov-Kuznetsov ...wave solutions of the strain wave ... See full document

... wave solutions to nonlinear evolution equations ...wave solutions for the (1 + 1)-dimensional combined KdV-mKdV equation by using the novel (G'/G)-expansion ...wave ... See full document

... similarity solutions of the (1) are given in [1] by Lie symmetry ...approximate solutions are obtained in [3] with applying the differential transform ...The 1-soliton solution of ... See full document

... exact solutions of nonlinear evolution equations play a pivotal role in the study of mathematical physical ...exact solutions describe many important phenomena in physics and other fields, but they can also ... See full document

... picture, lump solutions don’t have such connection between amplitude and widths, and the profile shape can be quite ...formation lump solution process, the three-dimensional solitons ... See full document

... wave solutions are constructed for an extended (2 + 1)-dimensional shallow water wave ...wave solutions are presented, and the asymptotic properties of this type of solutions are ... See full document

... In this subsection we use the simplest equation method and obtain exact solutions of (.). This method was introduced by Kudryashov [] and modified by Vitanov []. The sim- plest equations we use in this ... See full document

... wave solutions and periodic wave solutions of Equation (2) by using a simple transformation relation and solving the ordinary differential ...exact solutions of Equation (2) by turning ... See full document

... It is well known that envelope gravity waves play an important role in atmospheric dy- namics [1–5], the troposphere is excited by convection, topography and other excitation processes to transfer energy and ... See full document

... In this work we proved the integrability of a generalized (2+1)-dimensional breaking soliton equation. Multiple soliton solutions were formally derived for this equation. More- over, ... See full document

... I T is the work of Fermi, Pasta and Ulam in the 1950s [1] that has attached much attention on exact solu- tions of nonlinear differential-difference equations (DDEs), which play a crucial role in modelling many ... See full document

... finite dimensional manifolds. A passage from (1) into (2) (variant local scheme of Lyapunov -Schmidt) with the conditions that equation (2) has all the topological and analytical properties of ... See full document