Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation

DOI10.1051/mmnp/2020018zbMath1469.37049OpenAlexW3023252873MaRDI QIDQ5001329

No author found.

Publication date: 19 July 2021

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2020018

zbMATH Keywords

rationalbreathercomplexiton solutionssimplified Hirota's methodgeneralized form(2+1)-dimensional Hirota bilinear equationmultiple soliton

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07)

Related Items (10)

The geophysical KdV equation: its solitons, complexiton, and conservation laws ⋮ A new \((4+1)\)-dimensional Burgers equation: its Bäcklund transformation and real and complex \(N\)-kink solitons ⋮ An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense ⋮ The Caputo–Fabrizio time-fractional Sharma–Tasso–Olver–Burgers equation and its valid approximations ⋮ Multi-solutions with specific geometrical wave structures to a nonlinear evolution equation in the presence of the linear superposition principle ⋮ A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions ⋮ Construction of complexiton-type solutions using bilinear form of Hirota-type ⋮ Kinky breather-wave and lump solutions to the \((2+1)\)-dimensional Burgers equations ⋮ Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line ⋮ Bäcklund transformation, complexiton, and solitons of a \((4+1)\)-dimensional nonlinear evolutionary equation

Uses Software

• SYMMGRP

Cites Work

• Unnamed Item
• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics
• Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation
• Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations
• Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
• Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations
• Symbolic software for soliton theory
• Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
• New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo-Miwa-like equation
• Dark breather waves, dark lump waves and lump wave-soliton interactions for a (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation in a fluid
• New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
• Different wave structures to the \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation
• Multiple soliton solutions of the Sawada-Kotera equation with a nonvanishing boundary condition and the perturbed Korteweg de Vries equation by using the multiple exp-function scheme
• Designable Integrability of the Variable Coefficient Nonlinear Schrödinger Equations
• A multiple exp-function method for nonlinear differential equations and its application
• Method for Solving the Korteweg-deVries Equation
• Complexiton solutions to soliton equations by the Hirota method
• A general bilinear form to generate different wave structures of solitons for a (3+1)‐dimensional Boiti‐Leon‐Manna‐Pempinelli equation
• Lump, mixed lump-kink, breather and rogue waves for a B-type Kadomtsev-Petviashvili equation
• Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates
• Multiple complex soliton solutions for the integrable KdV, fifth-order Lax, modified KdV, Burgers, and Sharma-Tasso-Olver equations

This page was built for publication: Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation