@article{article_1249987, title={Solitary Wave Solutions to the General Class of Nonlocal Nonlinear Coupled Wave Equations}, journal={Duzce University Journal of Science and Technology}, volume={12}, pages={947–956}, year={2024}, DOI={10.29130/dubited.1249987}, author={Pasinlioğlu, Şenay and Muslu, Gülçin Mihriye}, keywords={Coupled Boussinesq equations, Petviashvili’s iteration method, solitary wave solutions.}, abstract={In this paper, we study a general class of nonlocal nonlinear coupled wave equations that includes the convolution operation with kernel functions. For appropriate selections of the kernel functions, the system becomes well-known nonlinear coupled wave equations, for instance Toda lattice system, coupled improved Boussinesq equations. A numerical scheme is proposed for the solitary wave solutions of the system using the Pethiashvili method. Using the different kernels, the validity of the numerical method has been tested.}, number={2}, publisher={Duzce University}