The solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equation
From MaRDI portal
Publication:5104228
DOI10.1080/17455030.2018.1428382OpenAlexW2790495363MaRDI QIDQ5104228
Pan-Li Ma, Shou-Fu Tian, Li Zou, Tian-Tian Zhang
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2018.1428382
Related Items
New numerical algorithm to solve variable-order fractional integrodifferential equations in the sense of Hilfer-Prabhakar derivative, Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized \((2+1)\)-dimensional Boussinesq equation
- \textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Rogue waves, homoclinic breather waves and soliton waves for the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Trilinear equations, Bell polynomials, and resonant solutions
- Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation
- Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity
- Quasi-periodic waves and solitary waves to a generalized KdV-Caudrey-Dodd-Gibbon equation from fluid dynamics
- Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
- On Lie symmetries, optimal systems and explicit solutions to the Kudryashov-Sinelshchikov equation
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations
- Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method
- On symmetry-preserving difference scheme to a generalized Benjamin equation and third-order Burgers equation
- The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
- The exp-function approach to the Schwarzian Korteweg-de Vries equation
- Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
- Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method
- On the validity and reliability of the (\(G^{\prime}/G\))-expansion method by using higher-order nonlinear equations
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation
- Exponential polynomials
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Bilinear equations and resonant solutions characterized by Bell polynomials
- Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Multiple-soliton solutions for the fifth order Caudrey-Dodd-Gibbon (CDG) equation
- On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- Classical Darboux transformations and the KP hierarchy
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. II. Exact One- and Two-Periodic Wave Solution of the Coupled Bilinear Equations
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Super extension of Bell polynomials with applications to supersymmetric equations
- Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations
- On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
- On the combinatorics of the HirotaD-operators
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- The Painlevé property for partial differential equations
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- The prolongation structure of a higher order Korteweg-de Vries equation
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- The generalized KaupߝBoussinesq equation: multiple soliton solutions
- Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics
- Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach
- Construction of Soliton-Cnoidal Wave Interaction Solution for the (2+1)-Dimensional Breaking Soliton Equation*
- Quasi-periodic wave solutions, soliton solutions, and integrability to a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
- The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
- On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
- Integrals of nonlinear equations of evolution and solitary waves
- Symmetries and differential equations
