Found 249 Documents (Results 1–100)
Wilton ripples with high-order resonances in weakly nonlinear models. (English) Zbl 1543.76015
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Travelling waves due to negative plant-soil feedbacks in a model including tree life-stages. (English) Zbl 1540.35092
Paul-Painlevé analysis, soliton and periodic wave in the fractional thermophoretic motion equation via graphene sheets. (English) Zbl 1537.35148
Wave profile, Paul-Painlevé approaches and phase plane analysis to the generalized (3+1)-dimensional shallow water wave model. (English) Zbl 1530.35101
Explicit solutions for the conformable regularized long wave Burger’s equation. (English) Zbl 07919797
Travelling waves and heteroclinic networks in models of spatially-extended cyclic competition. (English) Zbl 1526.34029
An implicit system of delay differential algebraic equations from hydrodynamics. (English) Zbl 1538.34298
Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation. (English) Zbl 1505.92254
Heterogeneity in behaviour and movement can influence the stability of predator-prey periodic travelling waves. (English) Zbl 1506.92068
Reviewer: Wan-Tong Li (Lanzhou)
Bifurcations of solitary waves, periodic peakons and compactons of a coupled nonlinear wave equation. (English) Zbl 07908196
Stability of smooth periodic travelling waves in the Camassa-Holm equation. (English) Zbl 1533.37149
A complex-analytic approach to kinetic energy properties of irrotational traveling water waves. (English) Zbl 1494.76012
Bifurcations and exact travelling wave solutions for a new integrable nonlocal equation. (English) Zbl 07905189
Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background. (English) Zbl 1516.35173
MSC:
35C07
Discrete traveling waves in a relay system of Mackey-Glass equations with two delays. (English. Russian original) Zbl 1496.34106
Theor. Math. Phys. 207, No. 3, 827-840 (2021); translation from Teor. Mat. Fiz. 207, No. 3, 489-504 (2021).
Reviewer: Ábel Garab (Klagenfurt)
Exact solutions for coupled nonlinear partial differential equations using \(G'/G\) method. (English) Zbl 1463.35152
Asymptotic behaviour of solutions of Fisher-KPP equation with free boundaries in time-periodic environment. (English) Zbl 1504.35657
Periodic travelling wave solutions for a reaction-diffusion system on landscape fitted domains. (English) Zbl 1490.35203
Bifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity. (English) Zbl 1469.35195
A new Evans function for quasi-periodic solutions of the linearised sine-Gordon equation. (English) Zbl 1462.35025
Solitary waves, periodic peakons, pseudo-peakons and compactons given by three ion-acoustic wave models in electron plasmas. (English) Zbl 1459.34122
Periodic travelling interfacial hydroelastic waves with or without mass. II: Multiple bifurcations and ripples. (English) Zbl 1427.76036
Long-distance seed dispersal affects the resilience of banded vegetation patterns in semi-deserts. (English) Zbl 1422.92183
Counting and ordering periodic stationary solutions of lattice Nagumo equations. (English) Zbl 1423.92258
How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems? (English) Zbl 1411.92242
A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors. (English) Zbl 1412.37055
Reviewer: Valery A. Gaiko (Minsk)
Lyapunov-Schmidt reduction in the study of bifurcation solutions of nonlinear fractional differential equation. (English) Zbl 1415.35031
Exact traveling wave solutions and \(L^{1}\) stability for the shallow water wave model of moderate amplitude. (English) Zbl 1378.35068
A periodic reaction-diffusion system modelling man-environment-man epidemics. (English) Zbl 1365.92114
Solitary wave and chaotic behavior of traveling wave solutions for the coupled Schrödinger-KdV equations. (English) Zbl 1463.34166
Using numerical bifurcation analysis to study pattern formation in mussel beds. (English) Zbl 1384.92014
Plant disease propagation in a striped periodic medium. (English) Zbl 1367.92118
Cushing, Jim M. (ed.) et al., Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. New Delhi: Springer (ISBN 978-81-322-3638-2/hbk; 978-81-322-3640-5/ebook). Springer Proceedings in Mathematics & Statistics 186, 121-164 (2016).
New Jacobi elliptic function periodic solutions of generalized Zakharov equations. (Chinese. English summary) Zbl 1374.35036
Bifurcations and new exact travelling wave solutions of the coupled nonlinear Schrödinger-KdV equations. (English) Zbl 1374.35052
New Jacobi elliptic function periodic solutions of Davey-Stewartson equation. (Chinese. English summary) Zbl 1363.35285
Co-periodic stability of periodic waves in some Hamiltonian PDEs. (English) Zbl 1362.35037
Reviewer: Dmitry Pelinovsky (Hamilton)
Well-posedness and computation of solutions of a regularized Benjamin-Ono system. (English) Zbl 1352.42033
Travelling wave solutions of the Schamel-Korteweg-de Vries and the Schamel equations. (English) Zbl 1356.35204
Periodic solutions of travelling-wave type in circular gene networks. (English. Russian original) Zbl 1383.34062
Izv. Math. 80, No. 3, 523-548 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 3, 67-94 (2016).
Reviewer: Klaus R. Schneider (Berlin)
Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation. (Travelling-wave and separated variable solutions of a nonlinear Schrödinger equation.) (English) Zbl 1345.35097
When does colonisation of a semi-arid hillslope generate vegetation patterns? (English) Zbl 1343.92551
Travelling waves in nonlinear magneto-inductive lattices. (English) Zbl 1341.34073
Reviewer: Panagiotis Ch. Tsamatos (Ioannina)
A water wave mixed type problem: existence of periodic travelling waves for a 2D Boussinesq system. (English) Zbl 1514.35396
New exact travelling wave solutions of nonlinear wave equations using the dynamical system method. (English) Zbl 1363.35334
New improvement of the expansion methods for solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients. (English) Zbl 1342.35308
Representation formula for traveling waves to a derivative nonlinear Schrödinger equation with the periodic boundary condition. (English) Zbl 1336.35326
The efficiency of trigonometric function method on generating travelling wave solutions for a physical model: Zoomeron equation. (English) Zbl 1333.35228
Reviewer: Santosh Bhattarai (Buffalo)
Model for acid-mediated tumour invasion with chemotherapy intervention. II: Spatially heterogeneous populations. (English) Zbl 1364.92018
MSC:
92C50
Cylindrically symmetric travelling fronts in a periodic reaction-diffusion equation with bistable nonlinearity. (English) Zbl 1439.35278
Existence of periodic travelling wave solutions of non-autonomous reaction-diffusion equations with lambda-omega type. (English) Zbl 1306.35061
Analysis and simulations of travelling waves in a single species reaction-diffusion model with spatiotemporal delay. (English) Zbl 1439.35252
The buffer phenomenon in ring-like chains of unidirectionally connected generators. (English. Russian original) Zbl 1378.34055
Izv. Math. 78, No. 4, 708-743 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 4, 73-108 (2014).
Reviewer: Klaus R. Schneider (Berlin)
Asymptotic pattern for a periodic lattice model with age structure and global interaction. (English) Zbl 1350.37078
An observation on the periodic solutions to nonlinear physical models by means of the auxiliary equation with a sixth-degree nonlinear term. (English) Zbl 1277.35101
Bistable travelling waves for a reaction and diffusion model with seasonal succession. (English) Zbl 1264.35087
Existence of periodic travelling waves in Fermi-Pasta-Ulam system on 2D-lattice. (Ukrainian. English summary) Zbl 1308.34020
Travelling wave solutions of a variant of the Boussinesq system. (Chinese. English summary) Zbl 1289.35275
New type periodic travelling wave solutions of the infinite lattice systems. (Chinese. English summary) Zbl 1274.35039
Existence and computation of periodic travelling-wave solutions of a dispersive system. (English) Zbl 1254.35047
Transition to spatiotemporal chaos via stationary branching shocks and holes. (English) Zbl 1253.35172
Travelling wave solutions in a delayed predator-prey diffusion PDE system: point-to-periodic and point-to-point waves. (English) Zbl 1250.35171
The bifurcation and exact peakons, solitary and periodic wave solutions for the Kudryashov-Sinelshchikov equation. (English) Zbl 1248.35174
Dynamical behaviors and new exact bounded travelling wave solutions for the modified Degasperis-Procesi equation. (English) Zbl 1258.34094
Reviewer: Klaus R. Schneider (Berlin)
Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations. (English) Zbl 1244.65155
The symmetric regularized-long-wave equation: well-posedness and nonlinear stability. (English) Zbl 1252.35130
Travelling waves of forced discrete nonlinear Schrödinger equations. (English) Zbl 1237.34012
Reviewer: Qintao Gan (Shijiazhuang)
Heteroclinic connections for multidimensional bistable reaction-diffusion equations. (English) Zbl 1207.35028
A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models. (English) Zbl 1209.65098
Bifurcation of traveling wave solutions for the generalized compound KdV equations. (English) Zbl 1202.35047
New exact and explicit travelling wave solutions for the coupled Higgs equation and a nonlinear variant of the PHI-four equation. (English) Zbl 1401.35271
Study of existence of linear and nonlinear wave in a non-Darcian fluid saturated porous medium. (English) Zbl 1315.76033
MSC:
76S05
Bifurcations of travelling wave solutions in the \((N + 1)\)-dimensional sine-cosine-Gordon equations. (English) Zbl 1222.35023
Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation. (English) Zbl 1222.35184
New exact solutions to the Zakharov-Kuznetsov equation and its generalized form. (English) Zbl 1221.35328
The extended tanh-method for \((N+1)\)-dimensional sine-cosine-Gordon equations. (English) Zbl 1213.35170
Bifurcations of travelling wave solutions for the nonlinear dispersion Drinfel’d-Sokolov \((D(m,n))\) system. (English) Zbl 1203.35203
Bifurcations of travelling wave solutions for the generalized \((2+1)\)-dimensional Boussinesq-Kadomtsev-Petviashvili equation. (English) Zbl 1202.35270
Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions. (English) Zbl 1200.35249
On the instability of a class of periodic travelling wave solutions of the modified Boussinesq equation. (English) Zbl 1198.35215
Wave train selection behind invasion fronts in reaction-diffusion predator-prey models. (English) Zbl 1204.37087
Reviewer: Xueyong Zhou (Xinyang)
Travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions. (English) Zbl 1215.34010
Reviewer: Zhi-Cheng Wang (Lanzhou)
The periodic Ross-Macdonald model with diffusion and advection. (English) Zbl 1201.35070
Reviewer: Cristian Chifu (Cluj-Napoca)
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