Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity
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Publication:2185449
DOI10.1016/j.amc.2020.125342OpenAlexW3025511615MaRDI QIDQ2185449
Yong-Hui Xia, Wenjing Zhu, Yuzhen Bai
Publication date: 4 June 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2020.125342
NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Ginzburg-Landau equations (35Q56)
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Cites Work
- Unnamed Item
- Unnamed Item
- Existence of solitary waves and periodic waves for a perturbed generalized BBM equation
- Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation
- Invariant subspaces and exact solutions of a class of dispersive evolution equations
- Regular traveling waves for a nonlocal diffusion equation
- Exact solutions in nonlinearly coupled cubic-quintic complex Ginzburg-Landau equations
- New exact double periodic wave and complex wave solutions for a generalized sinh-Gordon equation
- New exact homoclinic wave and periodic wave solutions for the Ginzburg-Landau equation
- Wave dynamics in a modified quintic complex Ginzburg-Landau system
- The traveling wave solutions of the perturbed nonlinear Schrödinger equation and the cubic-quintic Ginzburg Landau equation using the modified (\(G^{\prime}/G\))-expansion method
- Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form
- Exact chirped solitary-wave solutions for Ginzburg-Landau equation
- Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation
- Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays
- Bifurcations and exact solutions of ac-driven complex Ginzburg-Landau equation
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Stability of travelling wave solutions of the derivative Ginzburg-Landau equations
- Traveling wave solutions for nonlinear equations using symbolic computation
- The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
- Exact solitons, periodic peakons and compactons in an optical soliton model
- Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations
- Bifurcations and exact traveling wave solutions of a new two-component system
- Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation
- Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation
- New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations
- Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation
- Exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction
- An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions
- Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
- Loop solutions, breaking kink (or anti-kink) wave solutions, solitary wave solutions and periodic wave solutions for the two-component Degasperis-Procesi equation
- Explicit exact traveling wave solutions and bifurcations of the generalized combined double \(\sinh\)-\(\cosh\)-Gordon equation
- A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system
- Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
- Kinks and travelling wave solutions for Burgers-like equations
- Existence of traveling wave solutions for a reaction-diffusion equation with distributed delays
- Exact solutions for the general fifth KdV equation by the exp function method
- Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation
- Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation
- A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves
- Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation
- The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
- Exact solution for \((2+1)\)-dimension nonlinear dispersive long wave equation
- The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations
- Travelling wave solutions for the generalized Burgers-Huxley equation
- The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue
- On solitary wave solutions of ac-driven complex Ginzburg–Landau equation
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation
- Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System
- Limit Cycles in a Model of Olfactory Sensory Neurons
- Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
- Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
- Bifurcations of traveling wave solutions for an integrable equation
- Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
