Exact periodic solutions to generalized BBM equation and relevant conclusions

DOI10.1007/S10255-006-0326-3zbMath1104.35045OpenAlexW1487143273MaRDI QIDQ2431973

Junying An, Wei-Guo Zhang

Publication date: 24 October 2006

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-006-0326-3

zbMATH Keywords

periodic solutionsJacobi elliptic functiongeneralized Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Solutions to PDEs in closed form (35C05)

Related Items (4)

New solutions for the generalized BBM equation in terms of Jacobi and Weierstrass elliptic functions ⋮ Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation ⋮ Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation ⋮ PERIODIC WAVE SOLUTIONS FOR POCHHAMMER–CHREE EQUATION WITH FIVE ORDER NONLINEAR TERM AND THEIR RELATIONSHIP WITH SOLITARY WAVE SOLUTIONS

Cites Work

• Oscillatory instability of traveling waves for a KdV-Burgers equation
• Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order.
• Wave Propagation in Nonlinear Lattice. I
• On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
• Eigenvalues, and instabilities of solitary waves

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