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Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves
The Kawahara equation is a weakly nonlinear longwave model of dispersive waves that emerges when leading, third order, dispersive effects are in...
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Periodic and Solitary Waves and Nondissipative Discontinuity Structures in Electromagnetic Hydrodynamics in the Case of Wave Resonance
AbstractA numerical method is described for studying periodic waves, solitary waves, and nondissipative discontinuity structures for the equations...
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Frequency-dependent viscoelasticity effects on the wave attenuation performance of multi-layered periodic foundations
In this paper, layered periodic foundations (LPFs) are numerically examined for their responses to longitudinal and transverse modes in the time and...
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Almost Periodic Solutions of the Wave Equation with Dam** and Impulsive Action
We obtain sufficient conditions for the existence of piecewise continuous almost periodic solutions to the damped wave equation with impulsive action.
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Paul-Painlevé Analysis, Soliton and Periodic Wave in the Fractional Thermophoretic Motion Equation via Graphene Sheets
We focused on solitonic phenomena in substrate-supported graphene sheets by learning the solitons of fractional thermophoretic motion equation, which...
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Jacobian-Elliptic-Function and Rogue-Periodic-Wave Solutions of a Fifth-Order Nonlinear Schrödinger Equation in an Optical Fiber
Optical fiber communication becomes the main research direction in optical networking, computing, telecommunications and data communication. In an...
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On Lump, Periodic and Travelling Wave Structures to the Generalized Breaking Soliton Model
In this article, the generalized breaking soliton equation is considered which demonstrates the intersections of the surface wave dispersion curve...
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Orbital Stability of dn Periodic Wave Solutions of the Boussinesq Equation with Quadratic-Cubic Nonlinear Terms
This paper investigates the problem of the orbital stability of dn periodic wave solutions of the Boussinesq equation with quadratic-cubic nonlinear...
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Bilinear Form, Bilinear Bäcklund Transformations, Breather and Periodic-Wave Solutions for a (2+1)-Dimensional Shallow Water Equation with the Time-Dependent Coefficients
Shallow water waves are seen in geophysical fluid dynamics, oceanography, coastal engineering and atmospheric science. In this paper, to describe the...
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A KAM Theorem for the Time Quasi-periodic Reversible Perturbations of Linear Wave Equations Beyond Brjuno Conditions
This paper is concerned with the existence of quasi-periodic response solutions (i.e., solutions that are quasi-periodic with the same frequencies as...
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Painlevé Analysis, Bäcklund Transformation, Lax Pair, Periodic- and Travelling-Wave Solutions for a Generalized (2+1)-Dimensional Hirota–Satsuma–Ito Equation in Fluid Mechanics
In this paper, under investigation is a generalized (2+1)-dimensional Hirota–Satsuma–Ito (HSI) equation in fluid mechanics. Motivated by its...
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Traveling wave for a time-periodic Lotka-Volterra model with bistable nonlinearity
This paper studies bistable wavefronts of a diffusive time-periodic Lotka-Volterra system. We obtain a new condition for the existence, uniqueness...
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Novel Solitary and Periodic Wave Solutions of the Benjamin–Bona–Mahony Equation via the Weierstrass Elliptic Function Method
This paper presents the Weierstrass elliptic function solutions of the Riccati equation and four conversion formulas for converting the Weierstrass...
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New Soliton and Periodic Wave Solutions to the Fractional DGH Equation Describing Water Waves in a Shallow Regime
In this paper, the auxiliary equation method is proposed to find the explicit solutions of the space-time fractional Dullin-Gottwald-Holm equation....
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Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions
We consider the periodic solutions of a semilinear variable coefficient wave equation arising from the forced vibrations of a nonhomogeneous string...
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Wave Profile, Paul-Painlevé Approaches and Phase Plane Analysis to the Generalized (3+1)-Dimensional Shallow Water Wave Model
In this paper, the solitary wave solutions, the periodic type, and single soliton solutions are acquired. Here, the Hirota bilinear operator is...
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Existence of the Periodic Peaked Solitary-Wave Solutions to the Camassa–Holm–Kadomtsev–Petviashvili Equation
Considered in this paper is the Camassa–Holm–Kadomtsev–Petviashvili (CH–KP) equation [
22 ], which can be obtained as a model for the propagation of... -
Traveling Wave Solutions for Two Perturbed Nonlinear Wave Equations with Distributed Delay
Traveling wave solutions are a class of invariant solutions which are critical for shallow water wave equations. In this paper, traveling wave...
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Periodic Wave Solution of the Generalized Burgers–Fisher Equation via Abelian Integral
In this paper, the global existence and uniqueness of an isolated periodic wave solution is investigated for the Burgers–Fisher equation in a very...
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Ground States for DNLS Equation with Periodic or Asymptotically Periodic Potential
We study the existence of ground state solutions for a class of discrete nonlinear Schrödinger equation with a sign-changing potential which is...