BIFURCATION OF TRAVELING WAVE SOLUTIONS OF THE <inline-formula><tex-math id="M1">$K(M, N)$</tex-math></inline-formula> EQUATION WITH GENERALIZED EVOLUTION TERM
DOI10.11948/2156-907X.20180035zbMath1458.34073OpenAlexW2947050740MaRDI QIDQ5859395
Jing Jiang, Lan Yin, Weipeng Zhang, Yixian Gao
Publication date: 16 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2156-907x.20180035
solitary wavebifurcation curveperiodic cusp wavesmooth periodic wavesingular traveling wave equation
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Solitary waves in solid mechanics (74J35) Traveling wave solutions (35C07)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion
- Soliton solutions for \((2+1)\)-dimensional and \((3+1)\)-dimensional \(K(m, n)\) equations
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- Exact explicit peakon and periodic cusp wave solutions for several nonlinear wave equations
- Single peak solitary wave solutions for the osmosis \(K(2,2)\) equation under inhomogeneous boundary condition
- Exact M/W-shape solitary wave solutions determined by a singular traveling wave equation
- Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs
- The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations
- Traveling wave solutions for a class of nonlinear dispersive equations
- Travelling wave solutions in a model of the helix polypeptide chains
- Bifurcations of travelling wave solutions for the generalization form of the modified KdV equation
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- Dynamical understanding of loop soliton solution for several nonlinear wave equations
- Bifurcations of travelling wave solutions in a class of generalized KdV equation
- Bifurcation of traveling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
- Compactons: Solitons with finite wavelength
- EXACT SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS OF THE KAUP-KUPERSCHMIDT EQUATION
- SUB-MANIFOLD AND TRAVELING WAVE SOLUTIONS OF ITO'S 5TH-ORDER MKDV EQUATION
- EXISTENCE OF KINK AND UNBOUNDED TRAVELING WAVE SOLUTIONS OF THE CASIMIR EQUATION FOR THE ITO SYSTEM
- EXACT STATIONARY-WAVE SOLUTIONS IN THE STANDARD MODEL OF THE KERR-NONLINEAR OPTICAL FIBER WITH THE BRAGG GRATING
- Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
This page was built for publication: BIFURCATION OF TRAVELING WAVE SOLUTIONS OF THE <inline-formula><tex-math id="M1">$K(M, N)$</tex-math></inline-formula> EQUATION WITH GENERALIZED EVOLUTION TERM