A set of sufficient conditions consisting of systems of linear partial differential equations is obtained which guarantees that the Wronskian determinant solves the (3 + 1)-dimensional Jimbo–Miwa equation in the bilinear form. Upon solving the linear conditions, the resulting Wronskian formulations bring solution formulas, which can yield rational solutions, solitons, negatons, positons and int...

In this study, the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation that indicated propagation of nonlinear dispersive waves in inhomogeneous media is given for consideration. The generalized exponential rational function method used to seek some new exact solutions considered equation. three-dimensional surfaces and two-dimensional graphs obtained are plotted by choosing appropriate values...

In this work we find the isomonodromic (Jimbo-Miwa) tau-function corresponding to Frobenius manifold structures on Hurwitz spaces. We discuss several applications of this result. First, we get an explicit expression for the G-function (solution of Getzler’s equation) of the Hurwitz Frobenius manifolds. Second, in terms of this tau-function we compute the genus one correction to the free energy ...

We study the (3+1)-dimensional stochastic Jimbo–Miwa (SJM) equation induced by multiplicative white noise in Itô sense. employ Riccati mapping and He’s semi-inverse techniques to provide trigonometric, hyperbolic, rational function solutions of SJME. Due applications ocean studies other disciplines, acquired may explain numerous fascinating physical phenomena. Using a variety 2D 3D diagrams, we...

In this study, wave solutions of the (3+1) dimensional Jimbo-Miwa equation and two different phenomena solution, fusion fission, are obtained using modified exponential functionmethod. order to get more possible solutions, cases investigated due nature function method. When resulting analyzed, trigonometric, hyperbolic rational functions obtained. It was checked whether solution found by Wolfra...

Özet. Bu makalede, (G′/G)-açılım metodunu başarıyla değiştirdik ve bir uygulama olarak (3+1)-boyutlu Jimbo-Miwa denkleminin kesin çözümlerini inşa etmek için önerdik. Elde edilen çözümlerin yani hiperbolik fonksiyon çözümlerinin, trigonometrik fonksiyon çözümlerinin ve kesirli çözümlerin her biri çalışılan denklemdeki değişkenlerin açık doğrusal bir fonksiyonunu içermektedir. Önerilen metodun, ...

The main goal of this study is obtaining analytical solutions for (3+1)-dimensional Jimbo-Miwa Equation which the second equation in well-known KP hierarchy integrable systems. For (3+1DJM) equation, hyperbolic, trigonometric, complex trigonometric and rational traveling wave have been constructed by applying (G'/G,1/G)-expansion method. Then, real imaginary graphics are presented giving specia...

In this article, we focus on exact traveling wave solutions to an extended Jimbo-Miwa equation, which is extension of the equation. First, improved G ′ / -expansion method, id="M2"> and two variable ( id="M3"> φ</mi...