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Bifurcation, Phase Portrait and Traveling Wave Solutions of the Coupled Fractional Lakshmanan–Porsezian–Daniel Equation
In this paper, we investigate the bifurcation, phase portrait and the traveling wave solutions of the coupled fractional Lakshmanan–Porsezian–Daniel...
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Existence of Traveling Wave Solutions for the Perturbed Modefied Gardner Equation
The modified Gardner equation is widely used to describe the supernonlinear proliferation of ion-acoustic waves and quantum electron-positron ion...
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Time-Periodic Solutions to Quasilinear Hyperbolic Systems on General Networks
For quasilinear hyperbolic systems on general networks with time-periodic boundary-interface conditions with a dissipative structure, the existence...
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Stability of periodic peaked solitary waves for a cubic Camassa–Holm-type equation
We investigate the orbital stability of the periodic peaked solitary wave solutions for the cubic Camassa–Holm-type equation which arises as an...
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Asymptotic isospectrality of Schrödinger operators on periodic graphs
We consider discrete Schrödinger operators with periodic potentials on periodic graphs. Their spectra consist of a finite number of bands. We perturb...
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Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system
Nonlinear evolution equations (NLEEs) are extensively used to establish the elementary propositions of natural circumstances. In this work, we study...
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Steady Periodic Hydroelastic Waves in Polar Regions
We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating...
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Sign of the pulsating wave speed for the bistable competition–diffusion system in a periodic habitat
This paper is concerned with the speeds of pulsating waves for two-species competition–diffusion systems with bistable structures in periodically...
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About Heat Wave in a Semi-Infinite Rod with a Boundary Condition Periodically Changing in Time
An exact analytical solution to the problem of a periodic heat wave in a semi-infinite rod with a time-varying boundary condition at its end has been...
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Solitary-Wave Solutions of Benjamin–Ono and Other Systems for Internal Waves: II. Dynamics
Considered here are two systems of equations modeling the two-way propagation of long-crested, long-wavelength internal waves along the interface of...
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Spreading Speed of a Cholera Epidemic Model in a Periodic Environment
This paper is devoted to the spreading speed of a cholera epidemic model, which is built upon a time-periodic reaction-diffusion system that is not...
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New Solitary Wave Solutions and Dynamical Behaviors of the Nonlinear Fractional Zakharov System
In this study, we explore the fractional Zakharov system using the M-truncated derivative for the first time. Some new solitary wave and periodic...
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Elastic Two-Kink, Breather, Multiple Periodic, Hybrid and Half-/Local-Periodic Kink Solutions of a Sharma-Tasso-Olver-Burgers Equation for the Nonlinear Dispersive Waves
Burgers-type equations are used to describe certain phenomena in plasma astrophysics, ocean dynamics, atmospheric science and so on. In this paper, a...
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Propagation Dynamics for a Degenerate Delayed System with Nonlocal Dispersal in Periodic Habitats
In this paper, we study the existence of spread speeds and periodic traveling waves for a class of space–time periodic and degenerate cooperative...
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New Exact Solitary Wave Solutions of the Perturbed Cubic-Quartic Complex Ginzburg–Landau Equation with Different Nonlinear Refractive Index Structures
In this work, some new exact solitary wave solutions of the perturbed cubic-quartic complex Ginzburg–Landau equation (CQ-CGLE) are obtained. Using a...
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The symmetry of steady stratified periodic gravity water waves
In this paper, the two-dimensional steady stratified periodic gravity water waves are considered. If stagnation points don’t occur throughout the...
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Wave Propagation and Soliton Behaviors for the Strain Equation by Using the Sub-ODE Method and Expansion Technique
Within this study, we use the exact techniques to compute the new distinct soliton solutions of the strain wave equation. The governing equation is...
