Keywords: هدر; Peakon; Camassa–Holm equation; Lax pair; Bi-Hamiltonian structure
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Analytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear optics
Keywords: هدر; Generalized sine-Gordon equation; Bell polynomial; Bilinear method; Truncated Painlevé expansion; Multi-soliton solutions; Peakon;
An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions
Keywords: هدر; 37K10; 35Q51; 35Q58; Generalization of Camassa-Holm equation; Peakon; Complex peakon; Weak kink; Lax pair; Integrable system;
Analysis on the blow-up of solutions to a class of integrable peakon equations
Keywords: هدر; 35G25; 35B44; 35Q35; Quasilinear integrable equations; Peakon; Blow-up; Wave-breaking;
Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition
Keywords: هدر; CH-KP(2,1) equation; Single peak soliton; Peakon; Cuspon; Compacton; Smooth soliton; Loop soliton
On traveling wave solutions of the θ-equation of dispersive type
Keywords: هدر; Dispersive equations; Traveling wave solutions; Peakon; Soliton;
Compacton, peakon, cuspons, loop solutions and smooth solitons for the generalized KP–MEW equation
Keywords: هدر; Generalized KP–MEW equation; Constant pedestal; Peakon; Cuspon; Compacton; Loop solution
The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation
Keywords: هدر; primary, 35Q53Fokas; Olver; Rosenau; Qiao equation; Peakon; Travelling waves; Novikov equation; Integrable equations; Cubic nonlinearities; Cauchy problem; Sobolev spaces; Well-posedness; Non-uniform dependence on initial data; Approximate solutions; Comm
Single peak solitary wave solutions for the generalized KP-MEW (2, 2) equation under boundary condition
Keywords: هدر; KP-MEW (2, 2) equation; Single peak soliton; Peakon; Cuspon; Compacton; Smooth soliton; Loop soliton;
Bifurcation of traveling wave solutions for the BBM-like B(2, 2) equation
Keywords: هدر; Bifurcation method; Solitary wave solution; Compacton; Peakon; Periodic cusp wave solution; BBM-like B(2, 2) equation;
Explicit and implicit solutions of a generalized Camassa–Holm Kadomtsev–Petviashvili equation
Keywords: هدر; gCH–KP equation; Periodic wave; Periodic cusp wave; Peakon; Loop; Kink wave
New exact explicit peakon and smooth periodic wave solutions of the K(3,2)K(3,2) equation
Keywords: هدر; 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.45.YvK(3,2)K(3,2) equation; Independent variable transformation; Peakon; Smooth periodic wave; Exact explicit solution
Smooth and non-smooth traveling wave solutions of the Fornberg–Whitham equation with linear dispersion term
Keywords: هدر; Fornberg–Whitham equation; Linear dispersion term; Bifurcation method; Solitary wave solution; Peakon; Periodic cusp wave solution
Bifurcations and exact bounded travelling wave solutions for a partial differential equation
Keywords: هدر; A partial differential equation; Loop soliton; Peakon; Generalized compacton; Periodic wave; Breaking wave; Exact solution
Solitons, peakons and periodic cusp wave solutions for the Fornberg–Whitham equation
Keywords: هدر; Fornberg–Whitham equation; Soliton; Peakon; Periodic cusp wave solution
New exact solutions for mCH and mDP equations by auxiliary equation method
Keywords: هدر; Modified form of Camassa–Holm equation; Modified form of Degasperis–Procesi equation; Auxiliary equation method; Solitary wave solutions; Peakon
Two-component integrable systems modelling shallow water waves: The constant vorticity case
Keywords: هدر; Water wave; Vorticity; Camassa–Holm equation; Zakharov–Ito system; Kaup–Boussinesq system; Lax pair; Soliton; Peakon
New peakon, solitary wave and periodic wave solutions for the modified Camassa–Holm equation
Keywords: هدر; 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.10.-a; 05.45.YvModified Camassa–Holm equation; Peakon; Solitary wave; Periodic wave; Exact solution
Compact travelling waves and peakon type solutions of several equations of mathematical physics and their Cellular Neural Network realization
Keywords: هدر; Travelling wave; Compact travelling wave; Peakon; Cellular Neural Network
Global weak solutions and wave breaking phenomena to the periodic Degasperis–Procesi equation with strong dispersion
Keywords: هدر; 35A05; 35B10; 35D05; 35E15; 35G25Degasperis–Procesi equation; Global weak solution; Breaking waves; Peakon; Shockpeakon
Bounded travelling wave solutions for a modified form of generalized Degasperis-Procesi equation
Keywords: هدر; A modified form of generalized Degasperis-Procesi equation; Bounded travelling wave solution; Loop soliton; Peakon; Solitary wave; Periodic wave;
Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized degasperis–procesi equation
Keywords: هدر; 34C25-28; 34C35; 35B65; 58F05GDP equation; Conpacton; Peakon; Periodic cusp wave; Phase portrait
Cusp and loop soliton solutions of short-wave models for the Camassa–Holm and Degasperis–Procesi equations
Keywords: هدر; 05.45.Yv; 47.90.+a; 02.30.JrCamassa–Holm equation; Degasperis–Procesi equation; Cusp soliton; Loop soliton; Peakon
Smooth and non-smooth travelling wave solutions of generalized Degasperis-Procesi equation
Keywords: هدر; Solitary waves; Periodic wave; Peakon; Compacton; Bifurcation theory;
The cnoidal wave/corner wave/breaking wave scenario: A one-sided infinite-dimension bifurcation
Keywords: هدر; Corner wave; Bifurcation; Peakon; Coshoidal wave;