A novel approach to a time-dependent-coefficient WBK system: doubly periodic waves and singular nonlinear dynamics
From MaRDI portal
Publication:1635022
DOI10.1155/2018/3158126zbMath1405.35188OpenAlexW2889523101MaRDI QIDQ1635022
Publication date: 18 December 2018
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/3158126
KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) Solutions to PDEs in closed form (35C05)
Related Items (3)
Analytical insights into a generalized semidiscrete system with time-varying coefficients: derivation, exact solutions, and nonlinear soliton dynamics ⋮ Exact Solutions of Nonlinear Equations in Mathematical Physics via Negative Power Expansion Method ⋮ Rational waves and complex dynamics: analytical insights into a generalized nonlinear Schrödinger equation with distributed coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Twin iterative solutions for a fractional differential turbulent flow model
- Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
- Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
- On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques
- Existence of solutions for a sequential fractional differential system with coupled boundary conditions
- Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
- Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
- Exact \(N\)-soliton solutions and dynamics of a new AKNS equation with time-dependent coefficients
- Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
- On a sign-changing solution for some fractional differential equations
- Iterative algorithm and estimation of solution for a fractional order differential equation
- A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations
- Exp-function method for nonlinear wave equations
- New exact solutions of the KdV-Burgers-Kuramoto equation
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
- Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
- Positive solutions for a class of fractional 3-point boundary value problems at resonance
- Painlevé integrability and new exact solutions of the \((4 + 1)\)-dimensional Fokas equation
- Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
- Lax integrability and soliton solutions for a nonisospectral integrodifferential system
- Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- Exact solutions for a compound KdV-Burgers equation
- Exact traveling wave solutions of the Boussinesq-Burgers equation
- Further improved \(F\)-expansion method and new exact solutions of Kadomstev-Petviashvili equation
- Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
- Exact solutions and dynamics of generalized AKNS equations associated with the nonisospectral depending on exponential function
- Exact solutions of a KdV equation hierarchy with variable coefficients
- Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations
- Method for Solving the Korteweg-deVries Equation
- Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients
- Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
- Some new weakly singular integral inequalities and their applications to fractional differential equations
This page was built for publication: A novel approach to a time-dependent-coefficient WBK system: doubly periodic waves and singular nonlinear dynamics