New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model

DOI10.1007/s11071-023-08528-1zbMath1520.35030OpenAlexW4376149059MaRDI QIDQ6166556

Ram Jiwari, Ankur

Publication date: 3 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-023-08528-1

zbMATH Keywords

finite element methodoptimal error estimatesexistence and uniquenessexp-function methodtanh-coth methodGBBMB model

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Soliton solutions (35C08)

Cites Work

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• Galerkin finite element method for the Rosenau-RLW equation
• The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
• Exact propagating multi-anti-kink soliton solutions of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• Multiple-soliton solutions, soliton-type solutions and rational solutions for the \((3+1)\)-dimensional generalized shallow water equation in oceans, estuaries and impoundments
• A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
• Conservation laws and exact solutions of a generalized Benjamin-Bona-Mahony-Burgers equation
• New periodic and soliton solutions for the generalized BBM and Burgers-BBM equations
• Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation
• Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
• Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation
• Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
• The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
• Exp-function method for nonlinear wave equations
• Numerical models for differential problems. Translated by Silvia Quarteroni.
• Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space
• Functional analysis, Sobolev spaces and partial differential equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients
• The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions
• A Galerkin finite element approach to Burgers' equation
• The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
• Degenerate boundary layer solutions to the generalized Benjamin-Bona-Mahony-Burgers equation
• A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation
• Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model
• Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions
• The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
• The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
• The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
• The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains
• ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THEExp-FUNCTION METHOD
• Solitary wave solutions of nonlinear wave equations
• Higher order for the generalized BBM-burgers equation: existence and convergence results
• Existence of global attractors for the Benjamin–Bona–Mahony equation in unbounded domains
• Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations
• Finite element galerkin solutions for the rosenau equation
• VARIATIONAL PRINCIPLE AND APPROXIMATE SOLUTION FOR THE FRACTAL GENERALIZED BENJAMIN–BONA–MAHONY–BURGERS EQUATION IN FLUID MECHANICS
• A finite element approach for analysis and computational modelling of coupled reaction diffusion models
• Finite element analysis and approximation of Burgers’‐Fisher equation
• Galerkin Finite Element Methods for Parabolic Problems
• Long waves on a beach
• Galerkin Methods for Parabolic Equations
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• Variational methods for the solution of problems of equilibrium and vibrations