Rational waves and complex dynamics: analytical insights into a generalized nonlinear Schrödinger equation with distributed coefficients
From MaRDI portal
Publication:2325125
DOI10.1155/2019/3206503zbMath1428.35546OpenAlexW2922764771MaRDI QIDQ2325125
Bo Xu, Sheng Zhang, Li-Jie Zhang
Publication date: 9 September 2019
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/3206503
Related Items
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 ⋮ Higher-order rogue waves with controllable fission and asymmetry localized in a (3 + 1)-dimensional generalized Boussinesq equation
Cites Work
- Unnamed Item
- Twin iterative solutions for a fractional differential turbulent flow model
- Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
- 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
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- 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
- The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation
- A generalized \(F\)-expansion method and new exact solutions of Konopelchenko--Dubrovsky equations
- Exp-function method for nonlinear wave 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
- A novel approach to a time-dependent-coefficient WBK system: doubly periodic waves and singular nonlinear dynamics
- 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
- Exact solutions for a compound KdV-Burgers equation
- Nonautonomous bright soliton solutions on continuous wave and cnoidal wave backgrounds in blood vessels
- Extended tanh-function method and its applications to nonlinear equations
- 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
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Method for Solving the Korteweg-deVries Equation
- A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations
- Analytical solutions to the (3+1)-dimensional generalized nonlinear Schrödinger equation with varying parameters
- 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
- Some new weakly singular integral inequalities and their applications to fractional differential equations