Keywords: primary; 35Q53; 37K10; 35C07; Camassa-Holm equation; Cauchy problem; Analytic data; Global in time solutions; Analytic spaces; Exponential lower bound on the radius of analyticity;
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Keywords: 35C07; 35K57; 35R35; Traveling wave solution; Time-periodic competitive system; Free boundary problem;
Keywords: 35C07; 35K40; 35K65; 35Q35; 76A20; Travelling wave; Non-Newtonian fluid; Dilatant fluid; Thin film; Surfactant;
Keywords: 35C07; 35B35; 92D30; Nonlocal dispersal; Epidemic model; Traveling waves; Exponential stability; Weighted-energy method;
Keywords: 35C07; 35K57; 92D25; Spatial propagation; Reaction-diffusion cooperative systems; Accelerating fronts;
Keywords: primary; 35L60; 78A70; 35C07; 74J05; secondary; 35Q92; Hyperbolic reaction-diffusion model; Traveling wave solutions; Extended Thermodynamics theory; Nonlinear waves; Turing bifurcation;
Keywords: 76S05; 76T99; 35C07; Hysteresis; Porous media; Traveling waves; Riemann solvers;
Keywords: Extended tanh method; Coupled systems; Solitary wave solutions; 35C07; 35C08; 35B10; 35C09;
Keywords: Generalized Fisher equation; Traveling wave fronts; Geometric singular perturbation theory; Asymptotic behavior; Uniqueness; 34E15; 34D15; 35Q53; 35C07;
Keywords: Blood coagulation; Reaction-diffusion wave; Speed of propagation; 35C07; 92C45; 35K57;
Keywords: 65H10; 65M99; 35C99; 35C07; 76B25; Nonlinear dispersive equations; Periodic traveling waves; Iterative methods for nonlinear systems; Petviashvili type methods; Fractional KdV equation; e-Boussinesq system;
Keywords: 35Bxx; 35C07; 35G25; High-order Camassa-Holm equation; Traveling solution; Evolution procedure;
Keywords: solitary wave; periodic wave; Mawhin's continuation theorem; time-varying delay; nonlinear sources; 34C37; 35C07;
Keywords: 35C07; 35K57; 35B10; Reaction-diffusion systems; Multidimensional stability; Planar traveling fronts;
Keywords: 35Q53; 37K10; 35C07; Camassa-Holm equation; Novikov equation; Cauchy problem; Global in time solutions; Analytic spaces; Lower bound on the radius of analyticity;
Keywords: 35C07; 35K55; 35K57; 92D25; Transition front; Regularity; Stability;
Keywords: 35C07; 35K57; 37C65; 37N25; 92D25; Monotone semiflows; Time-space periodicity; Almost pulsating waves; Competitive systems;
Keywords: 35B50; 35C07; 35K08; 35K57; Hematopoiesis; Age-structured population; Reaction-diffusion system with delay; Difference equation; Traveling wave front; Asymptotic speed of spread;
Keywords: 35C07; 92D25; 35B35Cellular neural networks; Uniqueness; Asymptotic behavior; Nonlinear stability; Weighted energy method; Squeezing technique
Keywords: 35B32; 35C07; 35J20; 35R09; 35R11; 45G05; 47G10Allen–Cahn equation; Morse index; Variational method; Mountain pass solution
Keywords: dissipative evolution equations; traveling wave solutions; nonlinear stability; energy estimates35K45; 35C07; 35B40
Keywords: 35Q53; 35B30; 35B44; 35C07; 35G25A two component Novikov system; Besov spaces; Local well-posedness; Blow-up criteria
Keywords: 35B08; 35B40; 35B50; 35C07; 35K57Travelling waves; Heterogeneous reaction–diffusion equations; Monostable equations; Bistable equations; Ignition-type equations; Zero set of solutions of parabolic equations
Keywords: 35K57; 35B35; 35C07; 35K15; 35K58; 92D25Nicholson's blowflies equation; Time-delayed reaction–diffusion equation; Critical traveling waves; Oscillation; Stability
Keywords: 35C07; 35J15; 35B09; 35P20; 92D25KPP equations; Traveling wave solutions; Eigenvalue problems; Unfavorable; Concentration; Cylindrical domains
Keywords: 35C07; 35K20; 35K57Nonlinear Stefan problem; Spreading speed; Logarithmic shift
Keywords: 35C07; 35K57; 37C65Comparison principle; Asymptotic speed of spreading; Intra-specific conflictions; Minimal wave speed
Keywords: 34A12; 35C07; 34C10Suspension bridge; Traveling waves; Fourth-order differential equation; Oscillations; Finite time blow-up
Keywords: 35B10; 35B35; 35B40; 35C07; 35K40Advection–reaction–diffusion system; Time periodic traveling waves; Asymptotic stability; Maximal wave speed; Lotka–Volterra competition system
Keywords: 35C07; 35K55; 35K57; 92D25Transition front; Time heterogeneous media; Time random media
Keywords: 35C07; 76W99; 35A25Traveling wave; Exact solution; Couple stress fluid
Analytical description of the structure of special discontinuities described by a generalized KdV-Burgers equation
Keywords: Undercompressive shock; Generalized KdV-Burgers equation; Traveling wave; Dispersion; 74J30; 35C07;
Forced waves of the Fisher-KPP equation in a shifting environment
Keywords: 35C07; 35B40; 35K57; 92D25; Shifting environment; Fisher-KPP equation; Traveling waves; Long time behavior;
Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate
Keywords: 35Q92; 35R09; 35C07; 92D30; SIR epidemic model; Nonlocal dispersal; Traveling wave solution; Schauder's fixed point theorem;
Curved fronts in the Belousov-Zhabotinskii reaction-diffusion systems in R2
Keywords: 35K40; 35K57; 35C07; 35B35; 35B40; Belousov-Zhabotinskii reaction; Traveling waves; Curved fronts; Supersolution and subsolution; Comparison principle;
Transition fronts of time periodic bistable reaction-diffusion equations in RN
Keywords: 35C07; 35K57; 35B08; Bistable; Transition fronts; Time periodic; Reaction-diffusion equations;
Solitons and other solutions to a new coupled nonlinear Schrodinger type equation
Keywords: Solitons; Travelling wave; First integral method; Semi-inverse variational method; Liu's theorem; A new coupled nonlinear Schrodinger type equation; 35A24; 35C05; 35C07; 35C08; 35C09; 35Q92; 35B06;
(3Â +Â 1)-Dimensional spatiotemporal optical bright soliton solutions and periodic solutions in the nonlocal nonlinear media
Keywords: 35C07; 35B32; 35L05; 35C08; Nonlocal nonlinear media; Dynamical system method; Bifurcation; Bright soliton solution; Periodic solution;
Nonlinear stability of traveling wavefronts for competitive-cooperative Lotka-Volterra systems of three species
Keywords: Matrix equation; Stability; Competitive-cooperative system; Traveling waves; Weighted energy method; 35C07; 92D25; 35B35;
Comments on “Soliton solutions to fractional-order nonlinear differential equations based on the exp-function method”
Keywords: 35G20; 35C07; 35C05; Solitary solutions; Fractional-order derivative; Nonlinear differential equations; The exp-function method;
Epidemic waves of a spatial SIR model in combination with random dispersal and non-local dispersal
Keywords: SIR model; Nonlocal dispersal; Traveling wave solutions; Minimal wave speed; 35K55; 35C07; 35B40; 92D30; 92B05;
Traveling waves for a generalized Holling-Tanner predator-prey model
Keywords: 34C37; 35C07; 35K10; 35Q92; 92D25; 92D30; Holling-Tanner-type predator-prey model; Traveling waves; Minimal wave speed; Upper and lower solutions; Squeeze method; Lyapunov function;
The Fisher-KPP problem with doubly nonlinear “fast” diffusion
Keywords: 35K57; 35K65; 35C07; 35K55; Fisher-KPP equation; Doubly nonlinear diffusion; Propagation of level sets;
The Fisher-KPP problem with doubly nonlinear diffusion
Keywords: 35K57; 35K65; 35C07; 35K55; Fisher-KPP equation; Doubly nonlinear diffusion; Propagation of level sets;
A new approach for some NLDEs with variable coefficients
Keywords: 35C07; 35C08; 74J35; Compound KdV-Burgers equation; Generalized KdV equation; (2+1) dimensional Broer-Kaup equations; Generalized Kudryashov method; Dark soliton solutions and bright soliton solutions;
On the continuous resonant equation for NLS. I. Deterministic analysis
Keywords: 35BXX; 37K05; 35Q55; 35C07; Nonlinear Schrödinger equation; Resonant equation; Harmonic oscillator; Lowest Landau Level; Stationary solutions;
Convex compact sets in RN−1RN−1 give traveling fronts of cooperation–diffusion systems in RNRN
Keywords: 35C07; 35B20; 35K57Traveling front; Cooperation–diffusion system; Non-symmetric
Nonplanar traveling fronts in reaction–diffusion equations with combustion and degenerate Fisher-KPP nonlinearities
Keywords: 35K57; 35C07; 35B35; 35B40Reaction–diffusion equations; Traveling fronts of pyramidal shapes; V-shaped traveling fronts; Combustion nonlinearity; Degenerate Fisher-KPP nonlinearity
Traveling wave solutions of Lotka–Volterra competition systems with nonlocal dispersal in periodic habitats
Keywords: 35B40; 35C07; 45G15; 45M20; 47G20; 92D25Nonlocal dispersal; Lotka–Volterra competition system; Space periodic habitats; Traveling wave solutions; Existence; Asymptotic stability