General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces

@article{Wazwaz2002GeneralSW,
  title={General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces},
  author={Abdul-Majid Wazwaz},
  journal={Applied Mathematics and Computation},
  year={2002},
  volume={133},
  pages={229-244}
}
In this work, the defocusing branch of the genuinely nonlinear dispersive Kðn; nÞ equation that exhibits solutions with solitary patterns is investigated. The equation, with constant coefficients to the derivatives, is examined in one-, twoand three-dimensional spaces. General formulas for solutions with solitary patterns are developed for all positive integers n; n > 1. Two sets of entirely new formulas, one set produces solutions for even integers n whereas the second set produces solutions… CONTINUE READING

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