A Method for Solving Initial-value Problem and Finding Exact Solutions of Nonlinear Partial Differential Equations
- 37 Downloads
Homogeneous balance method for solving nonlinear partial differential equation(s) is extended to solving initial-value problem and getting new solution(s) from a known solution of the equation(s) under consideration. The approximate equations for long water waves are chosen to illustrate the method, infinitely many simple-solitary-wave solutions and infinitely many rational function solutions, especially the closed form of the solution for initial-value problem, are obtained by using the extended homogeneous balance method given here.
Key wordsextended homogeneous balance method exact solutions initial-value problem approximate equations for long water waves
Unable to display preview. Download preview PDF.