Abstract In this paper, other types of exact solution of a first-order nonlinear ordinary differential equation is further investigated. By using the solutions of this equation, and a new general ansatz, we give some types of solutions of a class of nonlinear partial differential equations and MKdV equation. These solutions includes solitary wave solutions, singulary solitary solitary solutions...

background and objectives: the etiology, pathophysiology, nomenclature and clinical manifes-tation of solitary rectal ulcer syndrome (srus) is poorly understood. aim: to examine the pathology of mucosal changes and clinical features of this syndrome. materials and methods: the mucosal biopsies of 19 patients with clinical evidence of solitary rectal ulcer as been reviewed in accordance with the...

We prove that the Cauchy problem for a certain sixth order hyperelastic dispersive equation is globally well-posed in a natural space. We also show that there exist solitary wave solutions u(x, y, t) = φc(x − ct, y) that come from an associated variational problem. Such solitary waves are nonlinearly stable in the sense that if a solution is initially close to the set of such solitary waves, it...

We study the behavior of solitary-wave solutions of some generalized nonlinear Schrödinger equations with an external potential. The equations have the feature that in the absence of the external potential, they have solutions describing inertial motions of stable solitary waves. We construct solutions of the equations with a non-vanishing external potential corresponding to initial conditions ...

Starting from an improved mapping approach and a linear variable separation approach, new families of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for the (2+1)-dimensional breaking soliton system are derived. Based on the derived solitary wave solution, we obtain some special folded localized...

RBF-Pseudospectral is used for the numerical solution of complex modified Kortewege-de Vries (CmKdV) equation. The numerical scheme is fast and accurate. There is no linearization of the nonlinear terms. The scheme is tested for single solitary wave, two and three solitary waves interaction. The results of the numerical scheme are compared with other meshless method of lines and the earlier work.

In this paper, we use two different integral techniques, the first integral and the direct integral method, to study the variable coefficient nonlinear Schrödinger (NLS) equation arising in arterial mechanics. The application of the first integral method yielded periodic and solitary wave solutions. Using the direct integration lead to solitary wave solution and Jacobi elliptic function solutions.

We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave solution (e.g. the KdV line solitary wave or the Zaitsev solitary waves which are localized in x and y periodic or conversely).

In this study, some solitary wave solutions of the Wu-Zhang system are analyzed using modified expansion function method and sine–Gordon method. Solitary non-linear mathematical model consisting hyperbolic trigonometric structures get. Two three dimensional, density graphics models drawn by choosing appropriate parameters. It was seen that all solution functions found as a result provide model....