1-soliton solution and conservation laws for the Jaulent-Miodek equation with power law nonlinearity

DOI10.1016/j.amc.2010.06.021zbMath1201.65181OpenAlexW2033243410MaRDI QIDQ711349

Anjan Biswas, Abdul Hamid Kara

Publication date: 25 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.021

zbMATH Keywords

conservation lawsoliton solutionshallow water wavespower law nonlinearityJaulent-Miodek equationEuler-Lagrange operatortotal divergence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Solitary wave and shock wave solitons to the transmission line model for nano-ionic currents along microtubules ⋮ Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation ⋮ Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients ⋮ On traveling wave solutions: the decoupled nonlinear Schrödinger equations with inter modal dispersion ⋮ Exact solutions of equation generated by the Jaulent-Miodek hierarchy by \((G'/G)\)-expansion method ⋮ New and more general traveling wave solutions for nonlinear Schrödinger equation ⋮ Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow

Cites Work

• Unnamed Item
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• The integrable couplings of the modified Jaulent-Miodek hierarchy and its Hamiltonian structure
• The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation
• Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy
• Decomposition to the modified Jaulent-Miodek hierarchy
• Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
• A numerical method for solving Jaulent-Miodek equation
• Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy
• Separability and dynamical \(r\)-matrix for the constrained flows of the Jaulent-Miodek hierarchy
• Cusp-like singular soliton solutions of Jaulent–Miodek equation using symbolic computation
• The finite-band solution of the Jaulent–Miodek equation
• New Symmetries of the Jaulent-Miodek Hierarchy
• A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations

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