New Function Solutions of Ablowitz-Kaup-Newell-Segur Water Wave Equation via Power Index Method
نویسندگان
چکیده
In this article, the applications of Power Index Method (PIM) are presented to ascertain function solutions AKNS equation. We find out adequate explicit general for in form exponential, trigonometric, and logarithmic functions which have their importance physical sciences. used transformations indexes independent variables nonrestricted parameters. During our investigation, we seen that nonlinear can be reduced linear ODE by using PIM. All contain with parameters, they graphically represented choosing suitable values
منابع مشابه
New Exact Solutions for Two Nonlinear Equations
Nonlinear partial differential equations are widely used to describe complex phenomena in various fields of science, for example the Korteweg-de Vries-Kuramoto-Sivashinsky equation (KdV-KS equation) and the Ablowitz-Kaup-Newell-Segur shallow water wave equation (AKNS-SWW equation). To our knowledge the exact solutions for the first equation were still not obtained and the obtained exact solutio...
متن کاملEvolution equations for pulse propagation in nonlinear media
We show that the complex modified KdV (cmKdV) equation and generalized nonlinear Schrödinger (GNLS) equation belong to the Ablowitz, Kaup, Newell and Segur or so-called AKNS hierarchy. Both equations do not follow from the action principle and are nonintegrable. By introducing some auxiliary fields we obtain the variational principle for them and study their canonical structures. We make use of...
متن کاملApproximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method
The homotopy analysis method HAM is applied to obtain the approximate traveling wave solutions of the coupled Whitham-Broer-Kaup WBK equations in shallow water. Comparisons are made between the results of the proposed method and exact solutions. The results show that the homotopy analysis method is an attractive method in solving the systems of nonlinear partial differential equations.
متن کاملBoundary RG Flow Associated with the AKNS Soliton Hierarchy
We introduce and study an integrable boundary flow possessing an infinite number of conserving charges which can be thought of as quantum counterparts of the Ablowitz, Kaup, Newell and Segur Hamiltonians. We propose an exact expression for overlap amplitudes of the boundary state with all primary states in terms of solutions of certain ordinary linear differential equation. The boundary flow is...
متن کاملSolutions of the nonlocal nonlinear Schrödinger hierarchy via reduction
In this letter we propose an approach to obtain solutions for the nonlocal nonlinear Schrödinger hierarchy from the known ones of the Ablowitz-Kaup-Newell-Segur hierarchy by reduction. These solutions are presented in terms of double Wronskian and some of them are new. The approach is general and can be used for other systems with double Wronskian solutions which admit local and nonlocal reduct...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of function spaces
سال: 2022
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2022/9405644