A NEW FRACTAL MODIFIED BENJAMIN–BONA–MAHONY EQUATION: ITS GENERALIZED VARIATIONAL PRINCIPLE AND ABUNDANT EXACT SOLUTIONS
From MaRDI portal
Publication:6114684
DOI10.1142/s0218348x23500470zbMath1529.35452MaRDI QIDQ6114684
Jing Si, Guo-Dong Wang, Feng Shi, Kang-Jia Wang
Publication date: 15 August 2023
Published in: Fractals (Search for Journal in Brave)
symbolic computationsemi-inverse methodfractal two-scale transformsWang's Bäcklund transformation-based method
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Fractals (28A80) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Traveling wave solutions (35C07)
Related Items
Cites Work
- Unnamed Item
- Traveling wave solutions of the nonlinear Drinfel'd-Sokolov-Wilson equation and modified Benjamin-Bona-Mahony equations
- Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation
- The first integral method for modified Benjamin-Bona-Mahony equation
- Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation
- Traveling wave solutions of two nonlinear wave equations by \((G^\prime/G)\)-expansion method
- Stability of multi-compacton solutions and Bäcklund transformation in \(K(m,n,1)\)
- Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions
- Explicit analytical approximation to large-amplitude non linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia
- Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics
- Exact solutions for a compound KdV-Burgers equation
- Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method
- Optical solitons to the fractional perturbed NLSE in nano-fibers
- Dual-wave solutions for the quadratic-cubic conformable-Caputo time-fractional Klein-Fock-Gordon equation
- Abundant soliton structures to the \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain dynamical model
- New travelling wave solutions for KdV6 equation using sub equation method
- Optical solitons to the fractional Schrödinger-Hirota equation
- The RC Circuit Described by Local Fractional Differential Equations
- LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM
- A fractal modification of Chen–Lee–Liu equation and its fractal variational principle
- Model equations for long waves in nonlinear dispersive systems
- A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
- N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION
- NON-DIFFERENTIABLE EXACT SOLUTIONS OF THE LOCAL FRACTIONAL ZAKHAROV–KUZNETSOV EQUATION ON THE CANTOR SETS
- Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types
