Solitary waves of the RLW equation via least squares method

Ersoy Hepson Ö., Dağ İ., Saka B., Ay B.

International Journal Of Nonlinear Sciences And Numerical Simulation, vol.0, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 0
  • Publication Date: 2021
  • Doi Number: 10.1515/ijnsns-2021-0216
  • Journal Name: International Journal Of Nonlinear Sciences And Numerical Simulation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: interaction of two solitary waves, quartic B-spline, RLW equation, single solitary wave, wave undulation, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTION, GALERKIN METHOD, ALGORITHM, SCHEME
  • Eskisehir Osmangazi University Affiliated: Yes


Integration using least squares method in space and Crank-Nicolson approach in time is managed to set up an algorithm to solve the RLW equation numerically. Trial functions in the least square method consist of a combination of the quartic B-spline functions. Integration of the RLW equation gives a system of algebraic equations. The solutions consisting of a combination of the quartic B-splines are given for some initial and boundary value problems of RLW equation.