Found 249 Documents (Results 101–200)
Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion. (English) Zbl 1203.37062
Travelling wave solutions for the generalized special type of the Tzitzeica-Dodd-Bullough equation. (English) Zbl 1199.35332
Nonlinear dispersive equations. Existence and stability of solitary and periodic travelling wave solutions. (English) Zbl 1202.35246
Mathematical Surveys and Monographs 156. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4897-5/pbk). xi, 256 p. (2009).
Reviewer: Alexander G. Ramm (Manhattan/KS)
Travelling waves for several equations of mathematical physics. Existence and profiles. (English) Zbl 1199.35328
Reviewer: Ivan Landjev (Sofia)
New exact travelling wave solutions for some nonlinear evolution equations. (English) Zbl 1177.35177
Reaction-diffusion equations for population dynamics with forced speed. II: Cylindrical-type domains. (English) Zbl 1183.35166
Different physical structures of solutions for a generalized Boussinesq wave equation. (English) Zbl 1177.35202
Small divisor problem in the theory of three-dimensional water gravity waves. (English) Zbl 1172.76005
Mem. Am. Math. Soc. 940, 128 p. (2009).
Reviewer: Ruxandra Stavre (Bucureşti)
A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method. (English) Zbl 1400.35203
Stability and instability of periodic travelling wave solutions for the critical Korteweg-de Vries and nonlinear Schrödinger equations. (English) Zbl 1160.37407
Smooth and nonsmooth solutions of several equations of mathematical physics and their cellular neural network realization. (English) Zbl 1233.65103
Margenov, Svetozar (ed.) et al., Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-00463-6/pbk). Lecture Notes in Computer Science 5434, 461-468 (2009).
Travelling wave solutions of the Cahn-Allen equation by using first integral method. (English) Zbl 1162.35304
Travelling wave solutions for the generalized Zakharov-Kuznetsov equation with higher-order nonlinear terms. (English) Zbl 1159.65351
New exact solutions for a nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1199.35347
Bifurcations of travelling wave solutions for the \(K(n,-n,2n)\) equations. (English) Zbl 1157.37021
Reviewer: Boris V. Loginov (Ul’yanovsk)
Bounded travelling wave solutions for a modified form of generalized Degasperis-Procesi equation. (English) Zbl 1163.35473
Construction of non-travelling wave solutions for the generalized variable-coefficient Gardner equation. (English) Zbl 1163.35480
Bifurcation of travelling wave solutions for the \((2+1)\)-dimensional Broer-Kau-Kupershmidt equation. (English) Zbl 1159.65100
Reviewer: Boris V. Loginov (Ul’yanovsk)
Abundant new travelling wave solutions for the (2 + 1)-dimensional sine-Gordon equation. (English) Zbl 1143.35357
Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity. (English) Zbl 1171.35061
Reviewer: Sen-Zhong Huang (Hamburg)
Applications of the generalized algebraic method to special-type nonlinear equations. (English) Zbl 1132.65099
Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations. (English) Zbl 1132.65098
The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations. (English) Zbl 1130.65104
Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling auto-catalysis. (English) Zbl 1360.34065
Periodic travelling wave solutions of a curvature flow equation in the plane. (English) Zbl 1138.35035
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Variational methods for anti-periodic traveling wave solutions to a class of Zakharov-Kuznestov equation. (English) Zbl 1141.35050
The extended tanh method and its applications for solving nonlinear physical models. (English) Zbl 1123.65103
Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation. (English) Zbl 1124.35077
The application of extended tanh-function approach in Toda lattice equations. (English) Zbl 1118.37033
Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications. (English) Zbl 1447.92358
Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation. (English) Zbl 1128.35380
Periodic travelling waves in chains of oscillators. (Ukrainian. English summary) Zbl 1120.34023
Explicit wave solutions of coupled nonlinear differential equations. (Chinese. English summary) Zbl 1115.35305
Bifurcations of travelling wave solutions for a general sine-Gordon equation. (English) Zbl 1099.35116
Constructing soliton and kink solutions of PDE models in transport and biology. (English) Zbl 1092.35504
Delayed non-local diffusive systems in biological invasion and disease spread. (English) Zbl 1130.35127
Brunner, Hermann (ed.) et al., Nonlinear dynamics and evolution equations. Based on lectures given during the international conference, St. John’s, NL, Canada, July 6–10, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3721-4/hbk). Fields Institute Communications 48, 137-200 (2006).
Reviewer: Brian D. Sleeman (Leeds)
A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations. (English) Zbl 1088.65087
Bifurcations of travelling wave solutions for a coupled nonlinear wave system. (English) Zbl 1144.34336
An extended Jacobi elliptic function rational expansion method and its application to \((2+1)\)-dimensional dispersive long wave equation. (English) Zbl 1145.35358
A simple transformation, hyperbolic function method and exact solution for a class of reaction diffusion equation. (Chinese. English summary) Zbl 1098.65100
Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems. (English) Zbl 1106.35086
Reviewer: Messoud A. Efendiev (Berlin)
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation. (English) Zbl 1092.35085
Reviewer: Leonid B. Chubarov (Novosibirsk)
A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation. (English) Zbl 1082.65578
The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation. (English) Zbl 1082.65584
Numerical simulations of periodic travelling waves to a generalized Ginzburg-Landau equation. (English) Zbl 1177.65163
MSC:
65M99
Existence of positive periodic solution for the electron beam focusing system. (English) Zbl 1069.34065
New exact travelling wave solutions for the shallow long wave approximate equations. (English) Zbl 1063.65114
Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1092.35094
Reviewer: Ma Wen-Xiu (Tampa)
A general mapping approach and new travelling wave solutions to (2+1)-dimensional Boussinesq equation. (English) Zbl 1167.35503
New effects in propagation of waves for reaction-diffusion systems. (English) Zbl 1073.35119
Reviewer: Sen-Zhong Huang (Hamburg)
Travelling and periodic wave solutions of a classical Boussinesq system. (English) Zbl 1063.35048
Reviewer: Valery V. Karachik (Chelyabinsk)
General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order. (English) Zbl 1057.35051
Reviewer: Messoud A. Efendiev (Berlin)
A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. (English) Zbl 1031.76008
A nonlinear two-species oscillatory system: bifurcation and stability analysis. (English) Zbl 1018.37029
Melnikov analysis for multi-symplectic PDEs. (English) Zbl 1034.37033
Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 720-724 (2002).
Reviewer: A. Sergyeyev (Kyïv)
Periodic travelling wave solutions of a parabolic equation: a monotonicity result. (English) Zbl 1072.35539
Numerical computation of connecting orbits in delay differential equations. (English) Zbl 1008.65096
Explicit and exact solutions to the modified unstable nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1009.35082
Roll waves in a gas-liquid medium. (English. Russian original) Zbl 1011.76089
Prikl. Mekh. Tekh. Fiz. 43, No. 2, 39-42 (2002); translation in J. Appl. Mech. Tech. Phys. 43, No. 2, 204-207 (2002).
Reviewer: V.I.Pinchukov (Novosibirsk)
MSC:
76T10
New explicit and exact solutions for the Nizhnik-Novikov-Vesselov equation. (English) Zbl 0996.35066
The smooth and nonsmooth travelling wave solutions in a nonlinear wave equation. (English. Chinese original) Zbl 1042.35033
Appl. Math. Mech., Engl. Ed. 22, No. 11, 1333-1343 (2001); translation from Appl. Math. Mech. 22, No. 11, 1201-1210 (2001).
Reviewer: Messoud A. Efendiev (Berlin)
New explicit and exact travelling wave solutions for a class of nonlinear evolution equations. (English) Zbl 0982.35101
A new approach to construct exact solutions of nonlinear evolution equations. (Chinese. English summary) Zbl 0982.35100
Strain solitons in solids and how to construct them. (English) Zbl 0983.74004
Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics. 117. Boca Raton, FL: CRC Press. 230 p. (2001).
Reviewer: L.Debnath (Orlando)
Steady three-dimensional water-wave patterns on a finite-depth fluid. (English) Zbl 1012.76013
MSC:
76B15
Explicit and exact solutions for a class of nonlinear wave equations. (Chinese. English summary) Zbl 0978.35010
Explicit and exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid. (Chinese. English summary) Zbl 0974.35096
Complicated travelling wave solutions of a modelling system describing media with memory and spatial nonlocality. (English) Zbl 0960.37039
Reviewer: Messoud Efendiev (Berlin)
Exact periodic steady solutions for nonlinear wave equations: a new approach. (English) Zbl 0938.35129
Secondary instabilities of interfacial waves due to coupling with a long wave mode in a two-layer Couette flow. (English) Zbl 0952.76504
Symmetry and phase-locking in a ring of pulse-coupled oscillators with distributed delays. (English) Zbl 0937.34060
Periodic and solitary traveling wave solutions for the generalized Kadomtsev-Petviashvili equation. (English) Zbl 0938.35156
Reviewer: A.Tsutsumi (Suita)
Periodic solutions for a doubly nonlinear diffusion equation in hydrology. (English) Zbl 0914.35060
Amann, H. (ed.) et al., Progress in partial differential equations. Papers from the 3rd European conference on elliptic and parabolic problems, Pont-à-Mousson, France, June 1997. Vol. 1. Harlow: Longman. Pitman Res. Notes Math. Ser. 383, 28-39 (1998).
Reviewer: Vicentiu D.Rădulescu (Craiova)
Infinite-dimensional nonlinear ordinary differential equations and the KAM theory. (English. Russian original) Zbl 0918.58025
Russ. Math. Surv. 52, No. 3, 551-604 (1997); translation from Usp. Mat. Nauk 52, No. 3, 105-160 (1997).
Reviewer: Messoud Efendiev (Berlin)
Existence of periodic travelling wave solutions for a class of generalized BBM equation. (English) Zbl 0892.35135
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