Construction of complexiton-type solutions using bilinear form of Hirota-type

DOI10.1515/ijnsns-2020-0172OpenAlexW4302742517MaRDI QIDQ2698645

Melike Kaplan, Nauman Raza

Publication date: 24 April 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2020-0172

zbMATH Keywords

symbolic computationcomplexiton solutionsextended transformed rational function method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Uses Software

• Maple

Cites Work

• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• The dynamical behavior of mixed type lump solutions on the \((3 + 1)\)-dimensional generalized Kadomtsev-Petviashvili-Boussinesq equation
• Complexiton solutions to the Korteweg-de Vries equation
• Extended transformed rational function method and applications to complexiton solutions
• A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions
• The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation
• A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle
• Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
• Extended transformed rational function method to nonlinear evolution equations
• Applications of linear superposition principle to resonant solitons and complexitons
• Resonant multiple wave solutions for a \((3+1)\)-dimensional nonlinear evolution equation by linear superposition principle
• A multiple exp-function method for nonlinear differential equations and its application
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Classification of exact solutions to the generalized Kadomtsev–Petviashvili equation
• Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation
• Optical dark and dark-singular soliton solutions of (1+2)-dimensional chiral nonlinear Schrodinger’s equation

This page was built for publication: Construction of complexiton-type solutions using bilinear form of Hirota-type