Write a function to manipulate an array to find a specific pattern or perform a transformation.
Implement wave_array(nums) to rearrange the integers in place so the result satisfies nums[0] <= nums[1] >= nums[2] <= nums[3].... Return the transformed array. Any valid arrangement is accepted. Use a single pass when possible.
Input: A list of integers nums.
Output: The same list after transformation.
Constraints: The input may be empty, may contain duplicates, and may contain negative values.
def wave_array(nums):