Zenodo (CERN European Organization for Nuclear Research) · 2010 · 17 citations · 30 references
Natural SciencesMathematicsPhysicsDifferential EquationsNonlinear Wave DynamicsPartial Differential EquationsSchrödinger EquationWave BreakingBilinear FormsNonlinear Differential-algebraic EquationsNonlinear Partial Differential EquationsNonlinear Wave BreakingSoliton TheorySolitonsWave Equations
In this work, we obtain some analytic solutions for the (3+1)-dimensional breaking soliton after obtaining its Hirota-s bilinear form. Our calculations show that, three-wave method is very easy and straightforward to solve nonlinear partial differential equations.
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On the homotopy analysis method for nonlinear problems
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