We derive an asymptotic formula for the amplitude distribution in a fully nonlinear shallow-water solitary wave train which is formed as the long-time outcome of the initial-value problem for the Su-Gardner (or one-dimensional Green-Naghdi) system. Our analysis is based on the properties of the characteristics of the associated Whitham modulation system which describes an intermediate “undular ...

In this paper, we determine spectral stability results of periodic waves for the critical Korteweg-de Vries and Gardner equations. For first equation, show that both positive zero mean traveling wave solutions possess a threshold value which may provides us rupture in stability. Concerning second establish existence using Galilean transformation on cnoidal solution modified equation equations, ...

Multiple adenomatous colon polyps. An adenomatous polyp is an area where the normal cells that line the inside of the colon and begin to make mucous and form a mass on the inside of the intestinal tract. Benign (noncancerous) tumors, including: sebaceous cysts (closed sac filled with liquid found under the skin) epidermoid cysts (lumps in or under the skin often filled with liquid) fibromas (fi...

Two different methods are proposed for the generation of wide classes of exact solutions to the stationary Gross-Pitaevskii equation (GPE). The first method, suggested by the work of Kondrat'ev and Miller [Izv. Vyssh. Uchebn. Zaved., Radiofiz IX, 910 (1966)], applies to one-dimensional (1D) GPE. It is based on the similarity between the GPE and the integrable Gardner equation, all solutions of ...

Abstract This research article examines the correctness of two new analytical methods for solving internal solitary waves shallow seas. To get computational solutions to positive (2 + 1)-dimensional Gardner–Kadomtsev–Petviashvili model, extended simplest equation and modified Kudryashov are used. Numerous traveling wave in various forms developed order assess starting conditions required variat...