Wave Propagation and Stability Analysis for Ostrovsky and Symmetric Regularized Long-Wave Equations
نویسندگان
چکیده
This work focuses on the propagation of waves water’s surface, which can be described via different mathematical models. Here, we apply generalized exponential rational function method (GERFM) to several nonlinear models surface wave identify their multiple solitary structures. We provide stability analysis and graphical representations for considered Additionally, this paper compares results obtained in existing solutions literature. The effectiveness potency utilized approach are demonstrated, indicating applicability a broad range partial differential equations physical phenomena.
منابع مشابه
Symmetric Regularized Long Wave Equations with Damping Term
We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term. Crank-Nicolson nonlinear-implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method. Numerical simu...
متن کاملDiscrete Asymptotic Equations for Long Wave Propagation
In this paper, we present a new systematic method to obtain some discrete numerical models for incompressible free-surface flows. The method consists in first discretizing the Euler equations with respect to one variable, keeping the other ones unchanged and then performing an asymptotic analysis on the resulting system. For the sake of simplicity, we choose to illustrate this method in the con...
متن کاملComplexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملA Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term
We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energ...
متن کاملAn Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-long-wave Equation
An efficient and accurate exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed and analyzed for solving the symmetric regularized-long-wave (SRLW) equation, which is used for modeling the weakly nonlinear ion acoustic and space-charge waves. The numerical method here is based on a Gautschi-type exponential wave integrator for temporal approximation and the Fourier pseu...
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: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11194030