Smooth Exact Traveling Wave Solutions Determined by Singular Nonlinear Traveling Wave Systems: Two Models

DOI10.1142/S0218127419500470zbMath1415.34003OpenAlexW2940981119MaRDI QIDQ4632150

Shengfu Deng, Guan-Rong Chen, Ji-Bin Li

Publication date: 26 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500470

zbMATH Keywords

exact solutionperiodic solutionheteroclinic orbithomoclinic orbitintegrable systemRaman soliton modelGreen-Naghdi equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

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Cites Work

• Analytical study of solitons in non-Kerr nonlinear negative-index materials
• Explicit solitons in the parabolic law nonlinear negative-index materials
• TRAVELING WAVE SOLUTIONS OF THE GREEN–NAGHDI SYSTEM
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• SOME TRAVELING WAVE SOLITONS OF THE GREEN–NAGHDI SYSTEM
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS (II): AN EXAMPLE OF GCKdV EQUATIONS
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• On the theory of water waves
• A derivation of equations for wave propagation in water of variable depth

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