New periodic solutions of Ito's 5th-order mKdV equation and Ito's 7th-order mKdV equation

DOI10.1007/S11766-004-0020-2zbMath1056.35141OpenAlexW2069143158MaRDI QIDQ1430635

Zuliang Pan, Peng Li

Publication date: 27 May 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0020-2

zbMATH Keywords

travelling wave solutionssolitary wave solutionsshock wave solutionsmKdV equationsmodified Jocobi elliptic function expansion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (1)

Soliton molecules for combined mKdV-type bilinear equation

Cites Work

• A note on the Jacobi elliptic function expansion method
• Solitary wave solutions for variant Boussinesq equations
• Extended tanh-function method and its applications to nonlinear equations
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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